13004971200 has 1008 divisors, whose sum is σ = 53929214976. Its totient is φ = 3060633600.

The previous prime is 13004971163. The next prime is 13004971229. The reversal of 13004971200 is 217940031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156686359 + ... + 156686441.

Almost surely, 2^13004971200 is an apocalyptic number.

13004971200 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 13004971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26964607488).

13004971200 is an abundant number, since it is smaller than the sum of its proper divisors (40924243776).

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

13004971200 is a wasteful number, since it uses less digits than its factorization.

13004971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13004971200 in words is "thirteen billion, four million, nine hundred seventy-one thousand, two hundred".