13051664640 has 864 divisors, whose sum is σ = 55834361856. Its totient is φ = 2749317120.

The previous prime is 13051664621. The next prime is 13051664669. The reversal of 13051664640 is 4646615031.

It is a happy number.

13051664640 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 1 + 6 + 6 + 4 + 640 = 666.

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 = 13051664595 and 13051664604.

It is a congruent number.

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, 57496207 + ... + 57496433.

It is an arithmetic number, because the mean of its divisors is an integer number (64623104).

Almost surely, 2^13051664640 is an apocalyptic number.

13051664640 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 13051664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27917180928).

13051664640 is an abundant number, since it is smaller than the sum of its proper divisors (42782697216).

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

13051664640 is a wasteful number, since it uses less digits than its factorization.

13051664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

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

The spelling of 13051664640 in words is "thirteen billion, fifty-one million, six hundred sixty-four thousand, six hundred forty".