13800656880 has 800 divisors, whose sum is σ = 53927976960. Its totient is φ = 3257210880.

The previous prime is 13800656773. The next prime is 13800656893. The reversal of 13800656880 is 8865600831.

13800656880 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 6 + 568 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133986909 + ... + 133987011.

Almost surely, 2^13800656880 is an apocalyptic number.

13800656880 is a gapful number since it is divisible by the number (10) 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 13800656880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26963988480).

13800656880 is an abundant number, since it is smaller than the sum of its proper divisors (40127320080).

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

13800656880 is a wasteful number, since it uses less digits than its factorization.

13800656880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 1380065 and 6880, that added together give a triangular number (1386945 = T₁₆₆₅).

The spelling of 13800656880 in words is "thirteen billion, eight hundred million, six hundred fifty-six thousand, eight hundred eighty".