157013323776 has 260 divisors, whose sum is σ = 485247945600. Its totient is φ = 50529927168.

The previous prime is 157013323759. The next prime is 157013323813. The reversal of 157013323776 is 677323310751.

157013323776 is a `hidden beast` number, since 1 + 570 + 1 + 3 + 3 + 2 + 3 + 7 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9613345 + ... + 9629663.

Almost surely, 2^157013323776 is an apocalyptic number.

157013323776 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 157013323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242623972800).

157013323776 is an abundant number, since it is smaller than the sum of its proper divisors (328234621824).

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

157013323776 is an equidigital number, since it uses as much as digits as its factorization.

157013323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16384 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 157013323776 in words is "one hundred fifty-seven billion, thirteen million, three hundred twenty-three thousand, seven hundred seventy-six".