8381090520 has 512 divisors, whose sum is σ = 32700672000. Its totient is φ = 1888634880.

The previous prime is 8381090503. The next prime is 8381090521. The reversal of 8381090520 is 250901838.

8381090520 is a `hidden beast` number, since 8 + 38 + 10 + 90 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8381090521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10109466 + ... + 10110294.

It is an arithmetic number, because the mean of its divisors is an integer number (63868500).

Almost surely, 2^8381090520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8381090520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350336000).

8381090520 is an abundant number, since it is smaller than the sum of its proper divisors (24319581480).

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

8381090520 is a wasteful number, since it uses less digits than its factorization.

8381090520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8381090520 is about 91548.2961064814. The cubic root of 8381090520 is about 2031.2662083503.

The spelling of 8381090520 in words is "eight billion, three hundred eighty-one million, ninety thousand, five hundred twenty".