157596564397008 has 320 divisors, whose sum is σ = 463285797811200. Its totient is φ = 45725643694080.

The previous prime is 157596564397007. The next prime is 157596564397067. The reversal of 157596564397008 is 800793465695751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157596564397001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1879307016 + ... + 1879390872.

It is an arithmetic number, because the mean of its divisors is an integer number (1447768118160).

Almost surely, 2^{157596564397008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157596564397008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231642898905600).

157596564397008 is an abundant number, since it is smaller than the sum of its proper divisors (305689233414192).

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

157596564397008 is a wasteful number, since it uses less digits than its factorization.

157596564397008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84930 (or 84924 counting only the distinct ones).

The product of its (nonzero) digits is 1714608000, while the sum is 75.

The spelling of 157596564397008 in words is "one hundred fifty-seven trillion, five hundred ninety-six billion, five hundred sixty-four million, three hundred ninety-seven thousand, eight".