157056098785920 has 384 divisors, whose sum is σ = 545404450116240. Its totient is φ = 41645206536192.

The previous prime is 157056098785903. The next prime is 157056098785967. The reversal of 157056098785920 is 29587890650751.

157056098785920 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 5 + 609 + 8 + 7 + 8 + 5 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55701623075904 + 101354475710016 = 7463352^2 + 10067496^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723929302 + ... + 724146218.

Almost surely, 2^{157056098785920} is an apocalyptic number.

157056098785920 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 157056098785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272702225058120).

157056098785920 is an abundant number, since it is smaller than the sum of its proper divisors (388348351330320).

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

157056098785920 is a wasteful number, since it uses less digits than its factorization.

157056098785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217652 (or 217637 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 72.

The spelling of 157056098785920 in words is "one hundred fifty-seven trillion, fifty-six billion, ninety-eight million, seven hundred eighty-five thousand, nine hundred twenty".