96681950400 has 672 divisors, whose sum is σ = 370251857920. Its totient is φ = 21633454080.

The previous prime is 96681950399. The next prime is 96681950413. The reversal of 96681950400 is 405918669.

It is a tau number, because it is divible by the number of its divisors (672).

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 96681950400.

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, 593140719 + ... + 593140881.

Almost surely, 2^96681950400 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 96681950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185125928960).

96681950400 is an abundant number, since it is smaller than the sum of its proper divisors (273569907520).

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

96681950400 is a wasteful number, since it uses less digits than its factorization.

96681950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 96681950400 in words is "ninety-six billion, six hundred eighty-one million, nine hundred fifty thousand, four hundred".