166495077504 has 768 divisors, whose sum is σ = 603790387200. Its totient is φ = 44610600960.

The previous prime is 166495077491. The next prime is 166495077589. The reversal of 166495077504 is 405770594661.

166495077504 is a `hidden beast` number, since 1 + 6 + 64 + 9 + 5 + 0 + 77 + 504 = 666.

It is a super-2 number, since 2×166495077504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 690850824 + ... + 690851064.

It is an arithmetic number, because the mean of its divisors is an integer number (786185400).

Almost surely, 2^166495077504 is an apocalyptic number.

166495077504 is a gapful number since it is divisible by the number (14) 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 166495077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301895193600).

166495077504 is an abundant number, since it is smaller than the sum of its proper divisors (437295309696).

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

166495077504 is a wasteful number, since it uses less digits than its factorization.

166495077504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 166495077504 in words is "one hundred sixty-six billion, four hundred ninety-five million, seventy-seven thousand, five hundred four".