96272395615968 has 384 divisors, whose sum is σ = 303627860895744. Its totient is φ = 26324878694400.

The previous prime is 96272395615919. The next prime is 96272395615997. The reversal of 96272395615968 is 86951659327269.

It is a super-2 number, since 2×96272395615968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 96272395615893 and 96272395615902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120091155 + ... + 120890157.

It is an arithmetic number, because the mean of its divisors is an integer number (790697554416).

Almost surely, 2^{96272395615968} 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 96272395615968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151813930447872).

96272395615968 is an abundant number, since it is smaller than the sum of its proper divisors (207355465279776).

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

96272395615968 is a wasteful number, since it uses less digits than its factorization.

96272395615968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799238 (or 799230 counting only the distinct ones).

The product of its digits is 2645395200, while the sum is 78.

The spelling of 96272395615968 in words is "ninety-six trillion, two hundred seventy-two billion, three hundred ninety-five million, six hundred fifteen thousand, nine hundred sixty-eight".