157076679475200 has 720 divisors, whose sum is σ = 525262349808000. Its totient is φ = 41414956154880.

The previous prime is 157076679475139. The next prime is 157076679475211. The reversal of 157076679475200 is 2574976670751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69288344467 + ... + 69288346733.

It is an arithmetic number, because the mean of its divisors is an integer number (729531041400).

Almost surely, 2^{157076679475200} is an apocalyptic number.

157076679475200 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 157076679475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262631174904000).

157076679475200 is an abundant number, since it is smaller than the sum of its proper divisors (368185670332800).

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

157076679475200 is a wasteful number, since it uses less digits than its factorization.

157076679475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 155584800, while the sum is 66.

The spelling of 157076679475200 in words is "one hundred fifty-seven trillion, seventy-six billion, six hundred seventy-nine million, four hundred seventy-five thousand, two hundred".