13612353840 has 120 divisors (see below), whose sum is σ = 45772101648. Its totient is φ = 3625413120.

The previous prime is 13612353827. The next prime is 13612353851. The reversal of 13612353840 is 4835321631.

13612353840 is a `hidden beast` number, since 1 + 3 + 61 + 23 + 538 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13612353795 and 13612353804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584010 + ... + 606870.

Almost surely, 2^13612353840 is an apocalyptic number.

13612353840 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 13612353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886050824).

13612353840 is an abundant number, since it is smaller than the sum of its proper divisors (32159747808).

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

13612353840 is a wasteful number, since it uses less digits than its factorization.

13612353840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23707 (or 23698 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13612353840 in words is "thirteen billion, six hundred twelve million, three hundred fifty-three thousand, eight hundred forty".