157257834725376 has 1728 divisors, whose sum is σ = 602568156088080. Its totient is φ = 40833928396800.

The previous prime is 157257834725221. The next prime is 157257834725393. The reversal of 157257834725376 is 673527438752751.

157257834725376 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 5 + 7 + 83 + 4 + 7 + 2 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 107 ways as a sum of consecutive naturals, for example, 47210396031 + ... + 47210399361.

Almost surely, 2^{157257834725376} is an apocalyptic number.

157257834725376 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 157257834725376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301284078044040).

157257834725376 is an abundant number, since it is smaller than the sum of its proper divisors (445310321362704).

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

157257834725376 is an frugal number, since it uses more digits than its factorization.

157257834725376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3354 counting only the distinct ones).

The product of its digits is 2074464000, while the sum is 72.

The spelling of 157257834725376 in words is "one hundred fifty-seven trillion, two hundred fifty-seven billion, eight hundred thirty-four million, seven hundred twenty-five thousand, three hundred seventy-six".