166957190400 has 2592 divisors, whose sum is σ = 808222520448. Its totient is φ = 29727129600.

The previous prime is 166957190357. The next prime is 166957190419. The reversal of 166957190400 is 4091759661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166957190400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2287084764 + ... + 2287084836.

It is an arithmetic number, because the mean of its divisors is an integer number (311814244).

Almost surely, 2^166957190400 is an apocalyptic number.

166957190400 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 166957190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404111260224).

166957190400 is an abundant number, since it is smaller than the sum of its proper divisors (641265330048).

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

166957190400 is a wasteful number, since it uses less digits than its factorization.

166957190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 166957190400 in words is "one hundred sixty-six billion, nine hundred fifty-seven million, one hundred ninety thousand, four hundred".