13993086240 has 576 divisors, whose sum is σ = 59371812864. Its totient is φ = 2927591424.

The previous prime is 13993086193. The next prime is 13993086269. The reversal of 13993086240 is 4268039931.

It is a happy number.

13993086240 is a `hidden beast` number, since 13 + 9 + 9 + 3 + 0 + 8 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6339217 + ... + 6341423.

It is an arithmetic number, because the mean of its divisors is an integer number (103076064).

Almost surely, 2^13993086240 is an apocalyptic number.

13993086240 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 13993086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685906432).

13993086240 is an abundant number, since it is smaller than the sum of its proper divisors (45378726624).

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

13993086240 is a wasteful number, since it uses less digits than its factorization.

13993086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13993086240 in words is "thirteen billion, nine hundred ninety-three million, eighty-six thousand, two hundred forty".