157299981366528 has 5184 divisors, whose sum is σ = 702466065100800. Its totient is φ = 32644210360320.

The previous prime is 157299981366523. The next prime is 157299981366551. The reversal of 157299981366528 is 825663189992751.

157299981366528 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 9 + 9 + 9 + 81 + 3 + 6 + 6 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157299981366523) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 358314308133 + ... + 358314308571.

It is an arithmetic number, because the mean of its divisors is an integer number (135506571200).

Almost surely, 2^{157299981366528} is an apocalyptic number.

157299981366528 is a gapful number since it is divisible by the number (18) 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 157299981366528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351233032550400).

157299981366528 is an abundant number, since it is smaller than the sum of its proper divisors (545166083734272).

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

157299981366528 is a wasteful number, since it uses less digits than its factorization.

157299981366528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 548 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 81.

The spelling of 157299981366528 in words is "one hundred fifty-seven trillion, two hundred ninety-nine billion, nine hundred eighty-one million, three hundred sixty-six thousand, five hundred twenty-eight".