13055820890112 has 2448 divisors, whose sum is σ = 53813055015360. Its totient is φ = 3130266746880.

The previous prime is 13055820890107. The next prime is 13055820890143. The reversal of 13055820890112 is 21109802855031.

13055820890112 is a `hidden beast` number, since 1 + 3 + 0 + 558 + 2 + 0 + 8 + 90 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×13055820890112² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1004293914618 + ... + 1004293914630.

Almost surely, 2^{13055820890112} is an apocalyptic number.

13055820890112 is a gapful number since it is divisible by the number (12) 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 13055820890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26906527507680).

13055820890112 is an abundant number, since it is smaller than the sum of its proper divisors (40757234125248).

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

13055820890112 is an frugal number, since it uses more digits than its factorization.

13055820890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 13055820890112 in words is "thirteen trillion, fifty-five billion, eight hundred twenty million, eight hundred ninety thousand, one hundred twelve".