8876624121600 has 864 divisors, whose sum is σ = 31791509213184. Its totient is φ = 2174690918400.

The previous prime is 8876624121571. The next prime is 8876624121619. The reversal of 8876624121600 is 61214266788.

It is a super-5 number, since 5×8876624121600⁵ (a number of 66 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1875472834 + ... + 1875477566.

It is an arithmetic number, because the mean of its divisors is an integer number (36795728256).

Almost surely, 2^{8876624121600} is an apocalyptic number.

8876624121600 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 8876624121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895754606592).

8876624121600 is an abundant number, since it is smaller than the sum of its proper divisors (22914885091584).

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

8876624121600 is a wasteful number, since it uses less digits than its factorization.

8876624121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 8876624121600 in words is "eight trillion, eight hundred seventy-six billion, six hundred twenty-four million, one hundred twenty-one thousand, six hundred".