157003519968 has 48 divisors (see below), whose sum is σ = 457926935760. Its totient is φ = 52334506368.

The previous prime is 157003519943. The next prime is 157003519979. The reversal of 157003519968 is 869915300751.

157003519968 is a `hidden beast` number, since 1 + 570 + 0 + 3 + 5 + 1 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90857655 + ... + 90859382.

It is an arithmetic number, because the mean of its divisors is an integer number (9540144495).

Almost surely, 2^157003519968 is an apocalyptic number.

157003519968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157003519968 is an abundant number, since it is smaller than the sum of its proper divisors (300923415792).

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

157003519968 is a wasteful number, since it uses less digits than its factorization.

157003519968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181717056 (or 181717042 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 157003519968 in words is "one hundred fifty-seven billion, three million, five hundred nineteen thousand, nine hundred sixty-eight".