13152670490880 has 432 divisors, whose sum is σ = 45668352562560. Its totient is φ = 3494956695552.

The previous prime is 13152670490867. The next prime is 13152670490893. The reversal of 13152670490880 is 8809407625131.

13152670490880 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 2 + 6 + 70 + 490 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13152670490867) and next prime (13152670490893).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5428257349 + ... + 5428259771.

It is an arithmetic number, because the mean of its divisors is an integer number (105713779080).

It is a 3-persistent number, because k⋅13152670490880 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{13152670490880} is an apocalyptic number.

13152670490880 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 13152670490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22834176281280).

13152670490880 is an abundant number, since it is smaller than the sum of its proper divisors (32515682071680).

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

13152670490880 is a wasteful number, since it uses less digits than its factorization.

13152670490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13152670490880 in words is "thirteen trillion, one hundred fifty-two billion, six hundred seventy million, four hundred ninety thousand, eight hundred eighty".