157508325216 has 288 divisors, whose sum is σ = 495457391520. Its totient is φ = 47460188160.

The previous prime is 157508325203. The next prime is 157508325257. The reversal of 157508325216 is 612523805751.

157508325216 is a `hidden beast` number, since 1 + 57 + 508 + 32 + 52 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 73981240 + ... + 73983368.

It is an arithmetic number, because the mean of its divisors is an integer number (1720338165).

Almost surely, 2^157508325216 is an apocalyptic number.

157508325216 is a gapful number since it is divisible by the number (16) 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 157508325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247728695760).

157508325216 is an abundant number, since it is smaller than the sum of its proper divisors (337949066304).

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

157508325216 is a wasteful number, since it uses less digits than its factorization.

157508325216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2338 counting only the distinct ones).

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

The spelling of 157508325216 in words is "one hundred fifty-seven billion, five hundred eight million, three hundred twenty-five thousand, two hundred sixteen".