157893755200 has 336 divisors, whose sum is σ = 412025128704. Its totient is φ = 59482931200.

The previous prime is 157893755177. The next prime is 157893755231. The reversal of 157893755200 is 2557398751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255905292 + ... + 255905908.

It is an arithmetic number, because the mean of its divisors is an integer number (1226265264).

Almost surely, 2^157893755200 is an apocalyptic number.

157893755200 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 157893755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206012564352).

157893755200 is an abundant number, since it is smaller than the sum of its proper divisors (254131373504).

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

157893755200 is a wasteful number, since it uses less digits than its factorization.

157893755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 157893755200 in words is "one hundred fifty-seven billion, eight hundred ninety-three million, seven hundred fifty-five thousand, two hundred".