13098086472960 has 432 divisors, whose sum is σ = 49638415029840. Its totient is φ = 3174004162560.

The previous prime is 13098086472953. The next prime is 13098086472979. The reversal of 13098086472960 is 6927468089031.

13098086472960 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 80 + 86 + 472 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38015640576 + 13060070832384 = 194976^2 + 3613872^2 .

It is a super-2 number, since 2×13098086472960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 4526230 + ... + 6832490.

It is an arithmetic number, because the mean of its divisors is an integer number (114903738495).

Almost surely, 2^{13098086472960} is an apocalyptic number.

13098086472960 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 13098086472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819207514920).

13098086472960 is an abundant number, since it is smaller than the sum of its proper divisors (36540328556880).

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

13098086472960 is a wasteful number, since it uses less digits than its factorization.

13098086472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306334 (or 2306317 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 13098086472960 in words is "thirteen trillion, ninety-eight billion, eighty-six million, four hundred seventy-two thousand, nine hundred sixty".