166335978372480 has 1536 divisors, whose sum is σ = 699611178240000. Its totient is φ = 36364166479872.

The previous prime is 166335978372467. The next prime is 166335978372521. The reversal of 166335978372480 is 84273879533661.

166335978372480 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 3 + 5 + 9 + 78 + 3 + 72 + 480 = 666.

It is a super-2 number, since 2×166335978372480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 166335978372399 and 166335978372408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4312890157 + ... + 4312928723.

It is an arithmetic number, because the mean of its divisors is an integer number (455476027500).

It is a 1-persistent number, because it is pandigital, but 2⋅166335978372480 = 332671956744960 is not.

Almost surely, 2^{166335978372480} is an apocalyptic number.

166335978372480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166335978372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349805589120000).

166335978372480 is an abundant number, since it is smaller than the sum of its proper divisors (533275199867520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166335978372480 is a wasteful number, since it uses less digits than its factorization.

166335978372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38709 (or 38680 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 166335978372480 in words is "one hundred sixty-six trillion, three hundred thirty-five billion, nine hundred seventy-eight million, three hundred seventy-two thousand, four hundred eighty".