96712585200 has 960 divisors, whose sum is σ = 454475197440. Its totient is φ = 18911232000.

The previous prime is 96712585163. The next prime is 96712585261. The reversal of 96712585200 is 258521769.

96712585200 is a `hidden beast` number, since 9 + 6 + 71 + 2 + 58 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14133780 + ... + 14140620.

It is an arithmetic number, because the mean of its divisors is an integer number (473411664).

Almost surely, 2^96712585200 is an apocalyptic number.

96712585200 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 96712585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227237598720).

96712585200 is an abundant number, since it is smaller than the sum of its proper divisors (357762612240).

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

96712585200 is a wasteful number, since it uses less digits than its factorization.

96712585200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 96712585200 in words is "ninety-six billion, seven hundred twelve million, five hundred eighty-five thousand, two hundred".