166179088400 has 120 divisors (see below), whose sum is σ = 431066967240. Its totient is φ = 61199953920.

The previous prime is 166179088399. The next prime is 166179088417. The reversal of 166179088400 is 4880971661.

It can be written as a sum of positive squares in 12 ways, for example, as 122895118096 + 43283970304 = 350564^2 + 208048^2 .

It is a super-3 number, since 3×166179088400³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981724 + ... + 2063876.

It is an arithmetic number, because the mean of its divisors is an integer number (3592224727).

Almost surely, 2^166179088400 is an apocalyptic number.

166179088400 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 166179088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215533483620).

166179088400 is an abundant number, since it is smaller than the sum of its proper divisors (264887878840).

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

166179088400 is a wasteful number, since it uses less digits than its factorization.

166179088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82573 (or 82562 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 166179088400 in words is "one hundred sixty-six billion, one hundred seventy-nine million, eighty-eight thousand, four hundred".