157516323840 has 352 divisors, whose sum is σ = 563219112960. Its totient is φ = 41746710528.

The previous prime is 157516323829. The next prime is 157516323841. The reversal of 157516323840 is 48323615751.

It is a happy number.

157516323840 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 1 + 632 + 3 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×157516323840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157516323841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23082669 + ... + 23089491.

Almost surely, 2^157516323840 is an apocalyptic number.

157516323840 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 157516323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281609556480).

157516323840 is an abundant number, since it is smaller than the sum of its proper divisors (405702789120).

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

157516323840 is a wasteful number, since it uses less digits than its factorization.

157516323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7024 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 157516323840 in words is "one hundred fifty-seven billion, five hundred sixteen million, three hundred twenty-three thousand, eight hundred forty".