13611255840 has 576 divisors, whose sum is σ = 57537672192. Its totient is φ = 2853273600.

The previous prime is 13611255803. The next prime is 13611255869. The reversal of 13611255840 is 4855211631.

13611255840 is a `hidden beast` number, since 1 + 3 + 61 + 1 + 2 + 558 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13611255795 and 13611255804.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 31580425 + ... + 31580855.

It is an arithmetic number, because the mean of its divisors is an integer number (99891792).

Almost surely, 2^13611255840 is an apocalyptic number.

13611255840 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 13611255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28768836096).

13611255840 is an abundant number, since it is smaller than the sum of its proper divisors (43926416352).

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

13611255840 is a wasteful number, since it uses less digits than its factorization.

13611255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13611255840 in words is "thirteen billion, six hundred eleven million, two hundred fifty-five thousand, eight hundred forty".