96025456800 has 1152 divisors, whose sum is σ = 436597056000. Its totient is φ = 20239994880.

The previous prime is 96025456783. The next prime is 96025456843. The reversal of 96025456800 is 865452069.

96025456800 is a `hidden beast` number, since 9 + 60 + 25 + 4 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96313902 + ... + 96314898.

It is an arithmetic number, because the mean of its divisors is an integer number (378990500).

Almost surely, 2^96025456800 is an apocalyptic number.

96025456800 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 96025456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218298528000).

96025456800 is an abundant number, since it is smaller than the sum of its proper divisors (340571599200).

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

96025456800 is a wasteful number, since it uses less digits than its factorization.

96025456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 96025456800 in words is "ninety-six billion, twenty-five million, four hundred fifty-six thousand, eight hundred".