9904087972800 has 1008 divisors, whose sum is σ = 42113842827264. Its totient is φ = 2159861760000.

The previous prime is 9904087972789. The next prime is 9904087972837. The reversal of 9904087972800 is 82797804099.

9904087972800 is a `hidden beast` number, since 9 + 90 + 408 + 79 + 72 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×9904087972800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221838480 + ... + 221883120.

Almost surely, 2^{9904087972800} is an apocalyptic number.

9904087972800 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 9904087972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21056921413632).

9904087972800 is an abundant number, since it is smaller than the sum of its proper divisors (32209754854464).

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

9904087972800 is a wasteful number, since it uses less digits than its factorization.

9904087972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44778 (or 44760 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 9904087972800 in words is "nine trillion, nine hundred four billion, eighty-seven million, nine hundred seventy-two thousand, eight hundred".