8828799367104 has 448 divisors, whose sum is σ = 27994361364480. Its totient is φ = 2720551173120.

The previous prime is 8828799367093. The next prime is 8828799367133. The reversal of 8828799367104 is 4017639978288.

8828799367104 is a `hidden beast` number, since 8 + 82 + 87 + 9 + 9 + 367 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013984319 + ... + 1013993025.

It is an arithmetic number, because the mean of its divisors is an integer number (62487413760).

Almost surely, 2^{8828799367104} 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 8828799367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997180682240).

8828799367104 is an abundant number, since it is smaller than the sum of its proper divisors (19165561997376).

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

8828799367104 is a wasteful number, since it uses less digits than its factorization.

8828799367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 8828799367104 in words is "eight trillion, eight hundred twenty-eight billion, seven hundred ninety-nine million, three hundred sixty-seven thousand, one hundred four".