8915416657920 has 1456 divisors, whose sum is σ = 34460259118560. Its totient is φ = 2206092754944.

The previous prime is 8915416657843. The next prime is 8915416657937. The reversal of 8915416657920 is 297566145198.

8915416657920 is a `hidden beast` number, since 8 + 9 + 1 + 54 + 1 + 6 + 6 + 579 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15034429144 + ... + 15034429736.

Almost surely, 2^{8915416657920} is an apocalyptic number.

8915416657920 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 8915416657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230129559280).

8915416657920 is an abundant number, since it is smaller than the sum of its proper divisors (25544842460640).

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

8915416657920 is an equidigital number, since it uses as much as digits as its factorization.

8915416657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 8915416657920 in words is "eight trillion, nine hundred fifteen billion, four hundred sixteen million, six hundred fifty-seven thousand, nine hundred twenty".