8615116800 has 720 divisors, whose sum is σ = 34130107200. Its totient is φ = 2123366400.

The previous prime is 8615116771. The next prime is 8615116813. The reversal of 8615116800 is 86115168.

8615116800 is a `hidden beast` number, since 8 + 61 + 511 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 210124780 + ... + 210124820.

Almost surely, 2^8615116800 is an apocalyptic number.

8615116800 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 8615116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065053600).

8615116800 is an abundant number, since it is smaller than the sum of its proper divisors (25514990400).

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

8615116800 is a wasteful number, since it uses less digits than its factorization.

8615116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8615116800 is about 92817.6534932876. The cubic root of 8615116800 is about 2049.9993495933. Note that the first 3 decimals are identical.

The spelling of 8615116800 in words is "eight billion, six hundred fifteen million, one hundred sixteen thousand, eight hundred".