157056786432 has 1176 divisors, whose sum is σ = 615701187696. Its totient is φ = 38985007104.

The previous prime is 157056786431. The next prime is 157056786443. The reversal of 157056786432 is 234687650751.

157056786432 is a `hidden beast` number, since 1 + 5 + 70 + 5 + 67 + 86 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157056786431) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9238634488 + ... + 9238634504.

Almost surely, 2^157056786432 is an apocalyptic number.

157056786432 is a gapful number since it is divisible by the number (12) 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 157056786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307850593848).

157056786432 is an abundant number, since it is smaller than the sum of its proper divisors (458644401264).

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

157056786432 is an frugal number, since it uses more digits than its factorization.

157056786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 157056786432 in words is "one hundred fifty-seven billion, fifty-six million, seven hundred eighty-six thousand, four hundred thirty-two".