96540576537600 has 4224 divisors, whose sum is σ = 414013368115200. Its totient is φ = 22135457710080.

The previous prime is 96540576537571. The next prime is 96540576537637. The reversal of 96540576537600 is 673567504569.

96540576537600 is a `hidden beast` number, since 9 + 6 + 5 + 4 + 0 + 576 + 53 + 7 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1222032614361 + ... + 1222032614439.

Almost surely, 2^{96540576537600} is an apocalyptic number.

96540576537600 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 96540576537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207006684057600).

96540576537600 is an abundant number, since it is smaller than the sum of its proper divisors (317472791577600).

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

96540576537600 is a wasteful number, since it uses less digits than its factorization.

96540576537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 96540576537600 in words is "ninety-six trillion, five hundred forty billion, five hundred seventy-six million, five hundred thirty-seven thousand, six hundred".