157725810961488 has 480 divisors, whose sum is σ = 556295003626752. Its totient is φ = 40524696576000.

The previous prime is 157725810961447. The next prime is 157725810961489. The reversal of 157725810961488 is 884169018527751.

157725810961488 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 2 + 5 + 81 + 0 + 9 + 61 + 488 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157725810961489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1223973156 + ... + 1224102012.

Almost surely, 2^{157725810961488} is an apocalyptic number.

157725810961488 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 157725810961488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147501813376).

157725810961488 is an abundant number, since it is smaller than the sum of its proper divisors (398569192665264).

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

157725810961488 is a wasteful number, since it uses less digits than its factorization.

157725810961488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130083 (or 130074 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 72.

The spelling of 157725810961488 in words is "one hundred fifty-seven trillion, seven hundred twenty-five billion, eight hundred ten million, nine hundred sixty-one thousand, four hundred eighty-eight".