8820411145920 has 672 divisors, whose sum is σ = 34307714488320. Its totient is φ = 2060335226880.

The previous prime is 8820411145901. The next prime is 8820411145961. The reversal of 8820411145920 is 295411140288.

8820411145920 is a `hidden beast` number, since 8 + 8 + 2 + 0 + 41 + 1 + 14 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462106617 + ... + 462125703.

It is an arithmetic number, because the mean of its divisors is an integer number (51053146560).

Almost surely, 2^{8820411145920} is an apocalyptic number.

8820411145920 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 8820411145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153857244160).

8820411145920 is an abundant number, since it is smaller than the sum of its proper divisors (25487303342400).

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

8820411145920 is a wasteful number, since it uses less digits than its factorization.

8820411145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19653 (or 19640 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 8820411145920 in words is "eight trillion, eight hundred twenty billion, four hundred eleven million, one hundred forty-five thousand, nine hundred twenty".