8979133132800 has 624 divisors, whose sum is σ = 33753535706880. Its totient is φ = 2338719989760.

The previous prime is 8979133132771. The next prime is 8979133132811. The reversal of 8979133132800 is 82313319798.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118848637 + ... + 118924163.

Almost surely, 2^{8979133132800} is an apocalyptic number.

8979133132800 is a gapful number since it is divisible by the number (80) 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 8979133132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876767853440).

8979133132800 is an abundant number, since it is smaller than the sum of its proper divisors (24774402574080).

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

8979133132800 is a wasteful number, since it uses less digits than its factorization.

8979133132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75613 (or 75580 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 8979133132800 in words is "eight trillion, nine hundred seventy-nine billion, one hundred thirty-three million, one hundred thirty-two thousand, eight hundred".