96642176211360 has 720 divisors, whose sum is σ = 383966568665064. Its totient is φ = 22754524852224.

The previous prime is 96642176211349. The next prime is 96642176211397. The reversal of 96642176211360 is 6311267124669.

It is a happy number.

96642176211360 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 2 + 1 + 7 + 621 + 1 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85524246276624 + 11117929934736 = 9247932^2 + 3334356^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 96642176211297 and 96642176211306.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88583754 + ... + 89668086.

Almost surely, 2^{96642176211360} is an apocalyptic number.

96642176211360 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 96642176211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191983284332532).

96642176211360 is an abundant number, since it is smaller than the sum of its proper divisors (287324392453704).

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

96642176211360 is a wasteful number, since it uses less digits than its factorization.

96642176211360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084419 (or 1084379 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 96642176211360 in words is "ninety-six trillion, six hundred forty-two billion, one hundred seventy-six million, two hundred eleven thousand, three hundred sixty".