157428262656 has 432 divisors, whose sum is σ = 543191201280. Its totient is φ = 42873937920.

The previous prime is 157428262609. The next prime is 157428262661. The reversal of 157428262656 is 656262824751.

157428262656 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 2 + 8 + 2 + 626 + 5 + 6 = 666.

It is a congruent number.

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, 144296671 + ... + 144297761.

It is an arithmetic number, because the mean of its divisors is an integer number (1257387040).

Almost surely, 2^157428262656 is an apocalyptic number.

157428262656 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 157428262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271595600640).

157428262656 is an abundant number, since it is smaller than the sum of its proper divisors (385762938624).

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

157428262656 is a wasteful number, since it uses less digits than its factorization.

157428262656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1515 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 157428262656 in words is "one hundred fifty-seven billion, four hundred twenty-eight million, two hundred sixty-two thousand, six hundred fifty-six".