96739275110400 has 1152 divisors, whose sum is σ = 387404576395200. Its totient is φ = 23812386324480.

The previous prime is 96739275110399. The next prime is 96739275110447. The reversal of 96739275110400 is 401157293769.

96739275110400 is a `hidden beast` number, since 9 + 6 + 73 + 92 + 75 + 1 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455633972 + ... + 1455700428.

Almost surely, 2^{96739275110400} is an apocalyptic number.

96739275110400 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 96739275110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193702288197600).

96739275110400 is an abundant number, since it is smaller than the sum of its proper divisors (290665301284800).

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

96739275110400 is an equidigital number, since it uses as much as digits as its factorization.

96739275110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66523 (or 66480 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 96739275110400 in words is "ninety-six trillion, seven hundred thirty-nine billion, two hundred seventy-five million, one hundred ten thousand, four hundred".