96600413520 has 180 divisors, whose sum is σ = 351291561660. Its totient is φ = 23778533376.

The previous prime is 96600413477. The next prime is 96600413549. The reversal of 96600413520 is 2531400669.

It is a happy number.

96600413520 is a `hidden beast` number, since 9 + 6 + 600 + 41 + 3 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10347772176 + 86252641344 = 101724^2 + 293688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275265 + ... + 518624.

It is an arithmetic number, because the mean of its divisors is an integer number (1951619787).

Almost surely, 2^96600413520 is an apocalyptic number.

96600413520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96600413520 is an abundant number, since it is smaller than the sum of its proper divisors (254691148140).

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

96600413520 is a wasteful number, since it uses less digits than its factorization.

96600413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793934 (or 793912 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 96600413520 in words is "ninety-six billion, six hundred million, four hundred thirteen thousand, five hundred twenty".