96928725600 has 576 divisors, whose sum is σ = 401674291200. Its totient is φ = 22097940480.

The previous prime is 96928725533. The next prime is 96928725703. The reversal of 96928725600 is 652782969.

96928725600 is a `hidden beast` number, since 9 + 6 + 9 + 2 + 8 + 7 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93289881 + ... + 93290919.

It is an arithmetic number, because the mean of its divisors is an integer number (697351200).

Almost surely, 2^96928725600 is an apocalyptic number.

96928725600 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 96928725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200837145600).

96928725600 is an abundant number, since it is smaller than the sum of its proper divisors (304745565600).

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

96928725600 is a wasteful number, since it uses less digits than its factorization.

96928725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 96928725600 in words is "ninety-six billion, nine hundred twenty-eight million, seven hundred twenty-five thousand, six hundred".