166890596400 has 960 divisors, whose sum is σ = 689484441600. Its totient is φ = 37915776000.

The previous prime is 166890596371. The next prime is 166890596417. The reversal of 166890596400 is 4695098661.

It is a happy number.

166890596400 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 0 + 596 + 40 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 241520055 + ... + 241520745.

It is an arithmetic number, because the mean of its divisors is an integer number (718212960).

Almost surely, 2^166890596400 is an apocalyptic number.

166890596400 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 166890596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344742220800).

166890596400 is an abundant number, since it is smaller than the sum of its proper divisors (522593845200).

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

166890596400 is a wasteful number, since it uses less digits than its factorization.

166890596400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 166890596400 in words is "one hundred sixty-six billion, eight hundred ninety million, five hundred ninety-six thousand, four hundred".