96769188864000 has 2240 divisors, whose sum is σ = 373588365376512. Its totient is φ = 24907087872000.

The previous prime is 96769188863989. The next prime is 96769188864097. The reversal of 96769188864000 is 46888196769.

96769188864000 is a `hidden beast` number, since 9 + 6 + 7 + 69 + 1 + 88 + 86 + 400 + 0 = 666.

It is a super-2 number, since 2×96769188864000² (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 96769188864000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 401531903880 + ... + 401531904120.

Almost surely, 2^{96769188864000} is an apocalyptic number.

96769188864000 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 96769188864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186794182688256).

96769188864000 is an abundant number, since it is smaller than the sum of its proper divisors (276819176512512).

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

96769188864000 is a wasteful number, since it uses less digits than its factorization.

96769188864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 96769188864000 in words is "ninety-six trillion, seven hundred sixty-nine billion, one hundred eighty-eight million, eight hundred sixty-four thousand".