96401388807360 has 1120 divisors, whose sum is σ = 431031633500160. Its totient is φ = 19906852626432.

The previous prime is 96401388807341. The next prime is 96401388807391. The reversal of 96401388807360 is 6370888310469.

96401388807360 is a `hidden beast` number, since 9 + 6 + 401 + 3 + 88 + 80 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 110425051 + ... + 111294629.

It is an arithmetic number, because the mean of its divisors is an integer number (384849672768).

Almost surely, 2^{96401388807360} is an apocalyptic number.

96401388807360 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 96401388807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215515816750080).

96401388807360 is an abundant number, since it is smaller than the sum of its proper divisors (334630244692800).

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

96401388807360 is a wasteful number, since it uses less digits than its factorization.

96401388807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869675 (or 869656 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 96401388807360 in words is "ninety-six trillion, four hundred one billion, three hundred eighty-eight million, eight hundred seven thousand, three hundred sixty".