13851586560 has 624 divisors, whose sum is σ = 53247528576. Its totient is φ = 3063545856.

The previous prime is 13851586547. The next prime is 13851586561. The reversal of 13851586560 is 6568515831.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13851586561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129454027 + ... + 129454133.

Almost surely, 2^13851586560 is an apocalyptic number.

13851586560 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 13851586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26623764288).

13851586560 is an abundant number, since it is smaller than the sum of its proper divisors (39395942016).

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

13851586560 is a wasteful number, since it uses less digits than its factorization.

13851586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 13851586560 in words is "thirteen billion, eight hundred fifty-one million, five hundred eighty-six thousand, five hundred sixty".