96101944718400 has 504 divisors, whose sum is σ = 344971046277000. Its totient is φ = 25372304179200.

The previous prime is 96101944718371. The next prime is 96101944718467. The reversal of 96101944718400 is 481744910169.

It is a happy number.

96101944718400 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 1 + 94 + 471 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11267676573696 + 84834268144704 = 3356736^2 + 9210552^2 .

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, 2073418426 + ... + 2073464774.

Almost surely, 2^{96101944718400} is an apocalyptic number.

96101944718400 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 96101944718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172485523138500).

96101944718400 is an abundant number, since it is smaller than the sum of its proper divisors (248869101558600).

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

96101944718400 is a wasteful number, since it uses less digits than its factorization.

96101944718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47807 (or 47789 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 96101944718400 in words is "ninety-six trillion, one hundred one billion, nine hundred forty-four million, seven hundred eighteen thousand, four hundred".