9972580800 has 1008 divisors, whose sum is σ = 43318338560. Its totient is φ = 1955266560.

The previous prime is 9972580789. The next prime is 9972580823. The reversal of 9972580800 is 80852799.

It is a happy number.

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 9972580800.

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, 126235161 + ... + 126235239.

Almost surely, 2^9972580800 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 9972580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21659169280).

9972580800 is an abundant number, since it is smaller than the sum of its proper divisors (33345757760).

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

9972580800 is a wasteful number, since it uses less digits than its factorization.

9972580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 9972580800 is about 99862.8098943746. The cubic root of 9972580800 is about 2152.4637917292.

The spelling of 9972580800 in words is "nine billion, nine hundred seventy-two million, five hundred eighty thousand, eight hundred".