8838972489600 has 1152 divisors, whose sum is σ = 36382756176000. Its totient is φ = 2020748083200.

The previous prime is 8838972489569. The next prime is 8838972489661. The reversal of 8838972489600 is 69842798388.

8838972489600 is a `hidden beast` number, since 8 + 8 + 3 + 8 + 9 + 7 + 2 + 4 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1366355166 + ... + 1366361634.

It is an arithmetic number, because the mean of its divisors is an integer number (31582253625).

Almost surely, 2^{8838972489600} is an apocalyptic number.

8838972489600 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 8838972489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18191378088000).

8838972489600 is an abundant number, since it is smaller than the sum of its proper divisors (27543783686400).

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

8838972489600 is a wasteful number, since it uses less digits than its factorization.

8838972489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 8838972489600 in words is "eight trillion, eight hundred thirty-eight billion, nine hundred seventy-two million, four hundred eighty-nine thousand, six hundred".