13056151200 has 144 divisors (see below), whose sum is σ = 42712891200. Its totient is φ = 3464017920.

The previous prime is 13056151153. The next prime is 13056151201. The reversal of 13056151200 is 215165031.

It is a super-2 number, since 2×13056151200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13056151201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463932 + ... + 491268.

It is an arithmetic number, because the mean of its divisors is an integer number (296617300).

Almost surely, 2^13056151200 is an apocalyptic number.

13056151200 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 13056151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356445600).

13056151200 is an abundant number, since it is smaller than the sum of its proper divisors (29656740000).

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

13056151200 is a wasteful number, since it uses less digits than its factorization.

13056151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27559 (or 27546 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 13056151200 in words is "thirteen billion, fifty-six million, one hundred fifty-one thousand, two hundred".