96137440274520 has 288 divisors, whose sum is σ = 333131874678720. Its totient is φ = 24039569940480.

The previous prime is 96137440274509. The next prime is 96137440274531. The reversal of 96137440274520 is 2547204473169.

96137440274520 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 7 + 4 + 40 + 2 + 74 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (96137440274509) and next prime (96137440274531).

It is a super-2 number, since 2×96137440274520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26489964 + ... + 29899716.

It is an arithmetic number, because the mean of its divisors is an integer number (1156707898190).

Almost surely, 2^{96137440274520} is an apocalyptic number.

96137440274520 is a gapful number since it is divisible by the number (90) 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 96137440274520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166565937339360).

96137440274520 is an abundant number, since it is smaller than the sum of its proper divisors (236994434404200).

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

96137440274520 is a wasteful number, since it uses less digits than its factorization.

96137440274520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410075 (or 3410051 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 96137440274520 in words is "ninety-six trillion, one hundred thirty-seven billion, four hundred forty million, two hundred seventy-four thousand, five hundred twenty".