13513832640 has 1344 divisors, whose sum is σ = 62733984768. Its totient is φ = 2687385600.

The previous prime is 13513832639. The next prime is 13513832653. The reversal of 13513832640 is 4623831531.

13513832640 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 13513832595 and 13513832604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 221538210 + ... + 221538270.

It is an arithmetic number, because the mean of its divisors is an integer number (46677072).

Almost surely, 2^13513832640 is an apocalyptic number.

13513832640 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 13513832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31366992384).

13513832640 is an abundant number, since it is smaller than the sum of its proper divisors (49220152128).

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

13513832640 is a wasteful number, since it uses less digits than its factorization.

13513832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

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

The spelling of 13513832640 in words is "thirteen billion, five hundred thirteen million, eight hundred thirty-two thousand, six hundred forty".