96884251200 has 1344 divisors, whose sum is σ = 416351923200. Its totient is φ = 21653913600.

The previous prime is 96884251171. The next prime is 96884251207. The reversal of 96884251200 is 215248869.

96884251200 is a `hidden beast` number, since 96 + 8 + 8 + 42 + 512 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96884251207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 541252711 + ... + 541252889.

Almost surely, 2^96884251200 is an apocalyptic number.

96884251200 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 96884251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208175961600).

96884251200 is an abundant number, since it is smaller than the sum of its proper divisors (319467672000).

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

96884251200 is a wasteful number, since it uses less digits than its factorization.

96884251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 96884251200 in words is "ninety-six billion, eight hundred eighty-four million, two hundred fifty-one thousand, two hundred".