157086926954496 has 1568 divisors, whose sum is σ = 590014214366976. Its totient is φ = 40609382400000.

The previous prime is 157086926954479. The next prime is 157086926954513. The reversal of 157086926954496 is 694459629680751.

157086926954496 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 8 + 6 + 9 + 2 + 69 + 544 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (157086926954479) and next prime (157086926954513).

It is a super-2 number, since 2×157086926954496² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115420224856 + ... + 115420226216.

Almost surely, 2^{157086926954496} is an apocalyptic number.

157086926954496 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 157086926954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295007107183488).

157086926954496 is an abundant number, since it is smaller than the sum of its proper divisors (432927287412480).

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

157086926954496 is an equidigital number, since it uses as much as digits as its factorization.

157086926954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 157086926954496 in words is "one hundred fifty-seven trillion, eighty-six billion, nine hundred twenty-six million, nine hundred fifty-four thousand, four hundred ninety-six".