96251515121664 has 936 divisors, whose sum is σ = 346966924646160. Its totient is φ = 26551751933952.

The previous prime is 96251515121653. The next prime is 96251515121681. The reversal of 96251515121664 is 46612151515269.

96251515121664 is a `hidden beast` number, since 9 + 6 + 2 + 5 + 1 + 51 + 512 + 16 + 64 = 666.

96251515121664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96251515121664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1414327062 + ... + 1414395114.

It is an arithmetic number, because the mean of its divisors is an integer number (370691158810).

Almost surely, 2^{96251515121664} 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 96251515121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173483462323080).

96251515121664 is an abundant number, since it is smaller than the sum of its proper divisors (250715409524496).

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

96251515121664 is an equidigital number, since it uses as much as digits as its factorization.

96251515121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68135 (or 68094 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 96251515121664 in words is "ninety-six trillion, two hundred fifty-one billion, five hundred fifteen million, one hundred twenty-one thousand, six hundred sixty-four".