157528512800 has 72 divisors (see below), whose sum is σ = 385571321856. Its totient is φ = 62846762240.

The previous prime is 157528512793. The next prime is 157528512829. The reversal of 157528512800 is 8215825751.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49337 + ... + 563463.

It is an arithmetic number, because the mean of its divisors is an integer number (5355157248).

Almost surely, 2^157528512800 is an apocalyptic number.

157528512800 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 157528512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192785660928).

157528512800 is an abundant number, since it is smaller than the sum of its proper divisors (228042809056).

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

157528512800 is a wasteful number, since it uses less digits than its factorization.

157528512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514530 (or 514517 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 44.

The spelling of 157528512800 in words is "one hundred fifty-seven billion, five hundred twenty-eight million, five hundred twelve thousand, eight hundred".