8898095047680 has 880 divisors, whose sum is σ = 32969973239280. Its totient is φ = 2293235712000.

The previous prime is 8898095047679. The next prime is 8898095047703. The reversal of 8898095047680 is 867405908988.

It can be written as a sum of positive squares in 8 ways, for example, as 396718580736 + 8501376466944 = 629856^2 + 2915712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8898095047599 and 8898095047608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853381280 + ... + 1853386080.

It is an arithmetic number, because the mean of its divisors is an integer number (37465878681).

Almost surely, 2^{8898095047680} is an apocalyptic number.

8898095047680 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 8898095047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484986619640).

8898095047680 is an abundant number, since it is smaller than the sum of its proper divisors (24071878191600).

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

8898095047680 is a wasteful number, since it uses less digits than its factorization.

8898095047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 8898095047680 in words is "eight trillion, eight hundred ninety-eight billion, ninety-five million, forty-seven thousand, six hundred eighty".