13047956400 has 120 divisors (see below), whose sum is σ = 41861298384. Its totient is φ = 3474099200.

The previous prime is 13047956381. The next prime is 13047956401. The reversal of 13047956400 is 465974031.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (13047956401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804370 + ... + 820430.

Almost surely, 2^13047956400 is an apocalyptic number.

13047956400 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 13047956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930649192).

13047956400 is an abundant number, since it is smaller than the sum of its proper divisors (28813341984).

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

13047956400 is a wasteful number, since it uses less digits than its factorization.

13047956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759 (or 16748 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 13047956400 in words is "thirteen billion, forty-seven million, nine hundred fifty-six thousand, four hundred".