9079249132800 has 5184 divisors, whose sum is σ = 45872088998400. Its totient is φ = 1712848896000.

The previous prime is 9079249132781. The next prime is 9079249132843. The reversal of 9079249132800 is 82319429709.

9079249132800 is a `hidden beast` number, since 9 + 0 + 79 + 2 + 491 + 3 + 2 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 102014035156 + ... + 102014035244.

It is an arithmetic number, because the mean of its divisors is an integer number (8848782600).

Almost surely, 2^{9079249132800} is an apocalyptic number.

9079249132800 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 9079249132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22936044499200).

9079249132800 is an abundant number, since it is smaller than the sum of its proper divisors (36792839865600).

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

9079249132800 is a wasteful number, since it uses less digits than its factorization.

9079249132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

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

The spelling of 9079249132800 in words is "nine trillion, seventy-nine billion, two hundred forty-nine million, one hundred thirty-two thousand, eight hundred".