13008038400 has 960 divisors, whose sum is σ = 57641548800. Its totient is φ = 2806824960.

The previous prime is 13008038399. The next prime is 13008038441. The reversal of 13008038400 is 483080031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 45964659 + ... + 45964941.

It is an arithmetic number, because the mean of its divisors is an integer number (60043280).

Almost surely, 2^13008038400 is an apocalyptic number.

13008038400 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 13008038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820774400).

13008038400 is an abundant number, since it is smaller than the sum of its proper divisors (44633510400).

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

13008038400 is a wasteful number, since it uses less digits than its factorization.

13008038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 13008038400 in words is "thirteen billion, eight million, thirty-eight thousand, four hundred".