96580572000 has 768 divisors, whose sum is σ = 367998059520. Its totient is φ = 21897216000.

The previous prime is 96580571953. The next prime is 96580572029. The reversal of 96580572000 is 27508569.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243275802 + ... + 243276198.

It is an arithmetic number, because the mean of its divisors is an integer number (479164140).

Almost surely, 2^96580572000 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 96580572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183999029760).

96580572000 is an abundant number, since it is smaller than the sum of its proper divisors (271417487520).

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

96580572000 is a wasteful number, since it uses less digits than its factorization.

96580572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 96580572000 in words is "ninety-six billion, five hundred eighty million, five hundred seventy-two thousand".