157538530800 has 480 divisors, whose sum is σ = 678524428800. Its totient is φ = 33890365440.

The previous prime is 157538530729. The next prime is 157538530867. The reversal of 157538530800 is 8035835751.

157538530800 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 38 + 530 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1223911 + ... + 1346489.

It is an arithmetic number, because the mean of its divisors is an integer number (1413592560).

Almost surely, 2^157538530800 is an apocalyptic number.

157538530800 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 157538530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339262214400).

157538530800 is an abundant number, since it is smaller than the sum of its proper divisors (520985898000).

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

157538530800 is a wasteful number, since it uses less digits than its factorization.

157538530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122630 (or 122613 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 157538530800 in words is "one hundred fifty-seven billion, five hundred thirty-eight million, five hundred thirty thousand, eight hundred".