13261154416020 has 384 divisors, whose sum is σ = 49664485785600. Its totient is φ = 2869731431424.

The previous prime is 13261154415973. The next prime is 13261154416063. The reversal of 13261154416020 is 2061445116231.

13261154416020 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 1 + 5 + 4 + 41 + 602 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112483024 + ... + 112600856.

It is an arithmetic number, because the mean of its divisors is an integer number (129334598400).

Almost surely, 2^{13261154416020} is an apocalyptic number.

13261154416020 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 13261154416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24832242892800).

13261154416020 is an abundant number, since it is smaller than the sum of its proper divisors (36403331369580).

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

13261154416020 is a wasteful number, since it uses less digits than its factorization.

13261154416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119444 (or 119436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13261154416020 in words is "thirteen trillion, two hundred sixty-one billion, one hundred fifty-four million, four hundred sixteen thousand, twenty".