8056113840 has 360 divisors, whose sum is σ = 28685913984. Its totient is φ = 2023833600.

The previous prime is 8056113827. The next prime is 8056113907. The reversal of 8056113840 is 483116508.

8056113840 is a `hidden beast` number, since 8 + 0 + 5 + 611 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 8056113795 and 8056113804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83052672 + ... + 83052768.

Almost surely, 2^8056113840 is an apocalyptic number.

8056113840 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 8056113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342956992).

8056113840 is an abundant number, since it is smaller than the sum of its proper divisors (20629800144).

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

8056113840 is a wasteful number, since it uses less digits than its factorization.

8056113840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8056113840 is about 89755.8568562520. The cubic root of 8056113840 is about 2004.6652625346.

The spelling of 8056113840 in words is "eight billion, fifty-six million, one hundred thirteen thousand, eight hundred forty".