157426851456 has 320 divisors, whose sum is σ = 545544046080. Its totient is φ = 44129359872.

The previous prime is 157426851437. The next prime is 157426851479. The reversal of 157426851456 is 654158624751.

157426851456 is a `hidden beast` number, since 1 + 5 + 74 + 2 + 6 + 8 + 514 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3826065 + ... + 3866991.

It is an arithmetic number, because the mean of its divisors is an integer number (1704825144).

Almost surely, 2^157426851456 is an apocalyptic number.

157426851456 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 157426851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272772023040).

157426851456 is an abundant number, since it is smaller than the sum of its proper divisors (388117194624).

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

157426851456 is an equidigital number, since it uses as much as digits as its factorization.

157426851456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41013 (or 40992 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 157426851456 in words is "one hundred fifty-seven billion, four hundred twenty-six million, eight hundred fifty-one thousand, four hundred fifty-six".