96465751200 has 2592 divisors, whose sum is σ = 476525125440. Its totient is φ = 18811699200.

The previous prime is 96465751183. The next prime is 96465751211. The reversal of 96465751200 is 215756469.

96465751200 is a `hidden beast` number, since 9 + 64 + 6 + 575 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 431 ways as a sum of consecutive naturals, for example, 2352823180 + ... + 2352823220.

It is an arithmetic number, because the mean of its divisors is an integer number (183844570).

Almost surely, 2^96465751200 is an apocalyptic number.

96465751200 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 96465751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238262562720).

96465751200 is an abundant number, since it is smaller than the sum of its proper divisors (380059374240).

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

96465751200 is a wasteful number, since it uses less digits than its factorization.

96465751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 96465751200 in words is "ninety-six billion, four hundred sixty-five million, seven hundred fifty-one thousand, two hundred".