96940584000 has 1792 divisors, whose sum is σ = 426037248000. Its totient is φ = 21349785600.

The previous prime is 96940583989. The next prime is 96940584043. The reversal of 96940584000 is 48504969.

It is a happy number.

96940584000 is a `hidden beast` number, since 9 + 69 + 4 + 0 + 584 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×96940584000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 1227095961 + ... + 1227096039.

It is an arithmetic number, because the mean of its divisors is an integer number (237744000).

Almost surely, 2^96940584000 is an apocalyptic number.

96940584000 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 96940584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624000).

96940584000 is an abundant number, since it is smaller than the sum of its proper divisors (329096664000).

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

96940584000 is a wasteful number, since it uses less digits than its factorization.

96940584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 96940584000 in words is "ninety-six billion, nine hundred forty million, five hundred eighty-four thousand".