13386052400 has 120 divisors (see below), whose sum is σ = 37747926240. Its totient is φ = 4465428480.

The previous prime is 13386052391. The next prime is 13386052439. The reversal of 13386052400 is 425068331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38996 + ... + 168204.

It is an arithmetic number, because the mean of its divisors is an integer number (314566052).

Almost surely, 2^13386052400 is an apocalyptic number.

13386052400 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 13386052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873963120).

13386052400 is an abundant number, since it is smaller than the sum of its proper divisors (24361873840).

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

13386052400 is a wasteful number, since it uses less digits than its factorization.

13386052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129271 (or 129260 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 13386052400 in words is "thirteen billion, three hundred eighty-six million, fifty-two thousand, four hundred".