8955313009920 has 432 divisors, whose sum is σ = 32645149642560. Its totient is φ = 2260318224384.

The previous prime is 8955313009831. The next prime is 8955313009943. The reversal of 8955313009920 is 299003135598.

8955313009920 is a `hidden beast` number, since 89 + 5 + 531 + 3 + 0 + 0 + 9 + 9 + 20 = 666.

It is a super-2 number, since 2×8955313009920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245784024 + ... + 245820456.

Almost surely, 2^{8955313009920} is an apocalyptic number.

8955313009920 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 8955313009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322574821280).

8955313009920 is an abundant number, since it is smaller than the sum of its proper divisors (23689836632640).

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

8955313009920 is a wasteful number, since it uses less digits than its factorization.

8955313009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37602 (or 37585 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 8955313009920 in words is "eight trillion, nine hundred fifty-five billion, three hundred thirteen million, nine thousand, nine hundred twenty".