13856615760 has 160 divisors (see below), whose sum is σ = 46303786368. Its totient is φ = 3407616000.

The previous prime is 13856615741. The next prime is 13856615761. The reversal of 13856615760 is 6751665831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13856615761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6154635 + ... + 6156885.

Almost surely, 2^13856615760 is an apocalyptic number.

13856615760 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 13856615760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151893184).

13856615760 is an abundant number, since it is smaller than the sum of its proper divisors (32447170608).

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

13856615760 is a wasteful number, since it uses less digits than its factorization.

13856615760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 13856615760 in words is "thirteen billion, eight hundred fifty-six million, six hundred fifteen thousand, seven hundred sixty".