96347915700400 has 480 divisors, whose sum is σ = 306268457564160. Its totient is φ = 28273016770560.

The previous prime is 96347915700391. The next prime is 96347915700401. The reversal of 96347915700400 is 400751974369.

96347915700400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×96347915700400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96347915700401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31023162 + ... + 33987238.

It is an arithmetic number, because the mean of its divisors is an integer number (638059286592).

Almost surely, 2^{96347915700400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96347915700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153134228782080).

96347915700400 is an abundant number, since it is smaller than the sum of its proper divisors (209920541863760).

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

96347915700400 is a wasteful number, since it uses less digits than its factorization.

96347915700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964181 (or 2964170 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 96347915700400 in words is "ninety-six trillion, three hundred forty-seven billion, nine hundred fifteen million, seven hundred thousand, four hundred".