13903276800 has 864 divisors, whose sum is σ = 56060411904. Its totient is φ = 2967552000.

The previous prime is 13903276799. The next prime is 13903276811. The reversal of 13903276800 is 867230931.

It is a super-2 number, since 2×13903276800² (a number of 21 digits) contains 22 as substring.

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, 195820765 + ... + 195820835.

It is an arithmetic number, because the mean of its divisors is an integer number (64884736).

Almost surely, 2^13903276800 is an apocalyptic number.

13903276800 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 13903276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28030205952).

13903276800 is an abundant number, since it is smaller than the sum of its proper divisors (42157135104).

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

13903276800 is a wasteful number, since it uses less digits than its factorization.

13903276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

It can be divided in two parts, 13903 and 276800, that added together give a triangular number (290703 = T₇₆₂).

The spelling of 13903276800 in words is "thirteen billion, nine hundred three million, two hundred seventy-six thousand, eight hundred".