8053656056800 has 36 divisors (see below), whose sum is σ = 19660987850616. Its totient is φ = 3221462422400.

The previous prime is 8053656056777. The next prime is 8053656056807. The reversal of 8053656056800 is 86506563508.

It is a happy number.

It is a super-2 number, since 2×8053656056800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053656056807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5033534236 + ... + 5033535835.

It is an arithmetic number, because the mean of its divisors is an integer number (546138551406).

Almost surely, 2^{8053656056800} is an apocalyptic number.

8053656056800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8053656056800 is an abundant number, since it is smaller than the sum of its proper divisors (11607331793816).

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

8053656056800 is a wasteful number, since it uses less digits than its factorization.

8053656056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067070091 (or 10067070078 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 8053656056800 in words is "eight trillion, fifty-three billion, six hundred fifty-six million, fifty-six thousand, eight hundred".