13120984800 has 1440 divisors, whose sum is σ = 63018466560. Its totient is φ = 2607897600.

The previous prime is 13120984787. The next prime is 13120984817. The reversal of 13120984800 is 848902131.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 570477589 + ... + 570477611.

It is an arithmetic number, because the mean of its divisors is an integer number (43762824).

Almost surely, 2^13120984800 is an apocalyptic number.

13120984800 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 13120984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31509233280).

13120984800 is an abundant number, since it is smaller than the sum of its proper divisors (49897481760).

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

13120984800 is a wasteful number, since it uses less digits than its factorization.

13120984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13120984800 in words is "thirteen billion, one hundred twenty million, nine hundred eighty-four thousand, eight hundred".