165457540400 has 120 divisors (see below), whose sum is σ = 427337172480. Its totient is φ = 61365530880.

The previous prime is 165457540393. The next prime is 165457540453. The reversal of 165457540400 is 4045754561.

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, 125597 + ... + 588803.

It is an arithmetic number, because the mean of its divisors is an integer number (3561143104).

Almost surely, 2^165457540400 is an apocalyptic number.

165457540400 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 165457540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213668586240).

165457540400 is an abundant number, since it is smaller than the sum of its proper divisors (261879632080).

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

165457540400 is a wasteful number, since it uses less digits than its factorization.

165457540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463291 (or 463280 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 41.

The spelling of 165457540400 in words is "one hundred sixty-five billion, four hundred fifty-seven million, five hundred forty thousand, four hundred".