13960882862640 has 960 divisors, whose sum is σ = 57796900761600. Its totient is φ = 2948618889216.

The previous prime is 13960882862569. The next prime is 13960882862657. The reversal of 13960882862640 is 4626828806931.

13960882862640 is a `hidden beast` number, since 1 + 3 + 96 + 0 + 8 + 8 + 286 + 264 + 0 = 666.

It is a super-2 number, since 2×13960882862640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3537085147 + ... + 3537089093.

It is an arithmetic number, because the mean of its divisors is an integer number (60205104960).

Almost surely, 2^{13960882862640} is an apocalyptic number.

13960882862640 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 13960882862640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28898450380800).

13960882862640 is an abundant number, since it is smaller than the sum of its proper divisors (43836017898960).

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

13960882862640 is a wasteful number, since it uses less digits than its factorization.

13960882862640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 13960882862640 in words is "thirteen trillion, nine hundred sixty billion, eight hundred eighty-two million, eight hundred sixty-two thousand, six hundred forty".