157528929168 has 640 divisors, whose sum is σ = 530366054400. Its totient is φ = 44354304000.

The previous prime is 157528929143. The next prime is 157528929179. The reversal of 157528929168 is 861929825751.

157528929168 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 289 + 291 + 68 = 666.

It is a super-2 number, since 2×157528929168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506523733 + ... + 506524043.

It is an arithmetic number, because the mean of its divisors is an integer number (828696960).

Almost surely, 2^157528929168 is an apocalyptic number.

157528929168 is a gapful number since it is divisible by the number (18) 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 157528929168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265183027200).

157528929168 is an abundant number, since it is smaller than the sum of its proper divisors (372837125232).

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

157528929168 is a wasteful number, since it uses less digits than its factorization.

157528929168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 157528929168 in words is "one hundred fifty-seven billion, five hundred twenty-eight million, nine hundred twenty-nine thousand, one hundred sixty-eight".