8856097873920 has 2016 divisors, whose sum is σ = 36925171869600. Its totient is φ = 2011818885120.

The previous prime is 8856097873853. The next prime is 8856097873957. The reversal of 8856097873920 is 293787906588.

8856097873920 is a `hidden beast` number, since 8 + 8 + 5 + 609 + 7 + 8 + 7 + 3 + 9 + 2 + 0 = 666.

It is a super-4 number, since 4×8856097873920⁴ (a number of 53 digits) contains 4444 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38672916366 + ... + 38672916594.

It is an arithmetic number, because the mean of its divisors is an integer number (18316057475).

Almost surely, 2^{8856097873920} is an apocalyptic number.

8856097873920 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 8856097873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18462585934800).

8856097873920 is an abundant number, since it is smaller than the sum of its proper divisors (28069073995680).

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

8856097873920 is a wasteful number, since it uses less digits than its factorization.

8856097873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 8856097873920 in words is "eight trillion, eight hundred fifty-six billion, ninety-seven million, eight hundred seventy-three thousand, nine hundred twenty".