13020796800 has 576 divisors, whose sum is σ = 52918220160. Its totient is φ = 3017625600.

The previous prime is 13020796771. The next prime is 13020796813. The reversal of 13020796800 is 869702031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13020796800² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 7285507 + ... + 7287293.

It is an arithmetic number, because the mean of its divisors is an integer number (91871910).

Almost surely, 2^13020796800 is an apocalyptic number.

13020796800 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 13020796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26459110080).

13020796800 is an abundant number, since it is smaller than the sum of its proper divisors (39897423360).

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

13020796800 is a wasteful number, since it uses less digits than its factorization.

13020796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13020796800 in words is "thirteen billion, twenty million, seven hundred ninety-six thousand, eight hundred".