13927578816 has 224 divisors, whose sum is σ = 40450129920. Its totient is φ = 4212864000.

The previous prime is 13927578809. The next prime is 13927578817. The reversal of 13927578816 is 61887572931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (5080320) is a multiple of the sum of its prime factors (1323).

It is not an unprimeable number, because it can be changed into a prime (13927578817) 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, 12099841 + ... + 12100991.

Almost surely, 2^13927578816 is an apocalyptic number.

13927578816 is a gapful number since it is divisible by the number (16) 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 13927578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225064960).

13927578816 is an abundant number, since it is smaller than the sum of its proper divisors (26522551104).

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

13927578816 is a wasteful number, since it uses less digits than its factorization.

13927578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 57.

The spelling of 13927578816 in words is "thirteen billion, nine hundred twenty-seven million, five hundred seventy-eight thousand, eight hundred sixteen".