157403768568480 has 1920 divisors, whose sum is σ = 659285827200000. Its totient is φ = 35344883589120.

The previous prime is 157403768568467. The next prime is 157403768568517. The reversal of 157403768568480 is 84865867304751.

157403768568480 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 0 + 3 + 7 + 6 + 85 + 68 + 480 = 666.

It is a super-2 number, since 2×157403768568480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 157403768568399 and 157403768568408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110149592406 + ... + 110149593834.

It is an arithmetic number, because the mean of its divisors is an integer number (343378035000).

Almost surely, 2^{157403768568480} is an apocalyptic number.

157403768568480 is a gapful number since it is divisible by the number (10) 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 157403768568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329642913600000).

157403768568480 is an abundant number, since it is smaller than the sum of its proper divisors (501882058631520).

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

157403768568480 is a wasteful number, since it uses less digits than its factorization.

157403768568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 157403768568480 in words is "one hundred fifty-seven trillion, four hundred three billion, seven hundred sixty-eight million, five hundred sixty-eight thousand, four hundred eighty".