96121700352 has 240 divisors, whose sum is σ = 286881638400. Its totient is φ = 31806259200.

The previous prime is 96121700347. The next prime is 96121700377. The reversal of 96121700352 is 25300712169.

96121700352 is a `hidden beast` number, since 9 + 612 + 1 + 7 + 0 + 0 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66796849 + ... + 66798287.

It is an arithmetic number, because the mean of its divisors is an integer number (1195340160).

Almost surely, 2^96121700352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96121700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143440819200).

96121700352 is an abundant number, since it is smaller than the sum of its proper divisors (190759938048).

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

96121700352 is a wasteful number, since it uses less digits than its factorization.

96121700352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 96121700352 in words is "ninety-six billion, one hundred twenty-one million, seven hundred thousand, three hundred fifty-two".