96161377420800 has 720 divisors, whose sum is σ = 358899676367232. Its totient is φ = 24559917465600.

The previous prime is 96161377420799. The next prime is 96161377420811. The reversal of 96161377420800 is 802477316169.

96161377420800 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 137 + 7 + 420 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346267602 + ... + 346545198.

Almost surely, 2^{96161377420800} is an apocalyptic number.

96161377420800 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 96161377420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179449838183616).

96161377420800 is an abundant number, since it is smaller than the sum of its proper divisors (262738298946432).

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

96161377420800 is a wasteful number, since it uses less digits than its factorization.

96161377420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277759 (or 277735 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 96161377420800 in words is "ninety-six trillion, one hundred sixty-one billion, three hundred seventy-seven million, four hundred twenty thousand, eight hundred".