96875457546240 has 240 divisors, whose sum is σ = 347231664119340. Its totient is φ = 25833455124480.

The previous prime is 96875457546229. The next prime is 96875457546269. The reversal of 96875457546240 is 4264575457869.

96875457546240 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 5 + 4 + 57 + 546 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89773957407744 + 7101500138496 = 9474912^2 + 2664864^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57568671 + ... + 59227550.

Almost surely, 2^{96875457546240} is an apocalyptic number.

96875457546240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96875457546240 is an abundant number, since it is smaller than the sum of its proper divisors (250356206573100).

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

96875457546240 is a wasteful number, since it uses less digits than its factorization.

96875457546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116796260 (or 116796231 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 96875457546240 in words is "ninety-six trillion, eight hundred seventy-five billion, four hundred fifty-seven million, five hundred forty-six thousand, two hundred forty".