8825987604816 has 400 divisors, whose sum is σ = 26124321128400. Its totient is φ = 2876099788800.

The previous prime is 8825987604779. The next prime is 8825987604947. The reversal of 8825987604816 is 6184067895288.

8825987604816 is a `hidden beast` number, since 8 + 8 + 2 + 5 + 9 + 8 + 7 + 604 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15776364816 + 8810211240000 = 125604^2 + 2968200^2 .

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7348865016 + ... + 7348866216.

It is an arithmetic number, because the mean of its divisors is an integer number (65310802821).

Almost surely, 2^{8825987604816} 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 8825987604816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062160564200).

8825987604816 is an abundant number, since it is smaller than the sum of its proper divisors (17298333523584).

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

8825987604816 is a wasteful number, since it uses less digits than its factorization.

8825987604816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 8825987604816 in words is "eight trillion, eight hundred twenty-five billion, nine hundred eighty-seven million, six hundred four thousand, eight hundred sixteen".