96877070400 has 672 divisors, whose sum is σ = 377179466112. Its totient is φ = 21499084800.

The previous prime is 96877070371. The next prime is 96877070419. The reversal of 96877070400 is 407077869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96877070400.

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, 33209742 + ... + 33212658.

Almost surely, 2^96877070400 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 96877070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188589733056).

96877070400 is an abundant number, since it is smaller than the sum of its proper divisors (280302395712).

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

96877070400 is a wasteful number, since it uses less digits than its factorization.

96877070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 96877070400 in words is "ninety-six billion, eight hundred seventy-seven million, seventy thousand, four hundred".