96972446035872 has 288 divisors, whose sum is σ = 311477618350080. Its totient is φ = 28351743552000.

The previous prime is 96972446035771. The next prime is 96972446035901. The reversal of 96972446035872 is 27853064427969.

96972446035872 is a `hidden beast` number, since 9 + 6 + 9 + 7 + 2 + 4 + 4 + 603 + 5 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×96972446035872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 96972446035872.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31015279 + ... + 33998417.

It is an arithmetic number, because the mean of its divisors is an integer number (1081519508160).

Almost surely, 2^{96972446035872} 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 96972446035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155738809175040).

96972446035872 is an abundant number, since it is smaller than the sum of its proper divisors (214505172314208).

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

96972446035872 is a wasteful number, since it uses less digits than its factorization.

96972446035872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983528 (or 2983517 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 96972446035872 in words is "ninety-six trillion, nine hundred seventy-two billion, four hundred forty-six million, thirty-five thousand, eight hundred seventy-two".