166172402880 has 448 divisors, whose sum is σ = 653136168960. Its totient is φ = 39426048000.

The previous prime is 166172402861. The next prime is 166172402899. The reversal of 166172402880 is 88204271661.

166172402880 is a `hidden beast` number, since 1 + 6 + 617 + 2 + 4 + 0 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166172402861) and next prime (166172402899).

It is a super-2 number, since 2×166172402880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4448280 + ... + 4485480.

Almost surely, 2^166172402880 is an apocalyptic number.

166172402880 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 166172402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326568084480).

166172402880 is an abundant number, since it is smaller than the sum of its proper divisors (486963766080).

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

166172402880 is a wasteful number, since it uses less digits than its factorization.

166172402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37285 (or 37269 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 166172402880 in words is "one hundred sixty-six billion, one hundred seventy-two million, four hundred two thousand, eight hundred eighty".