13981580572960 has 1152 divisors, whose sum is σ = 48626904711168. Its totient is φ = 3723439104000.

The previous prime is 13981580572933. The next prime is 13981580573057. The reversal of 13981580572960 is 6927508518931.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13981580572892 and 13981580572901.

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, 799349815 + ... + 799367305.

It is an arithmetic number, because the mean of its divisors is an integer number (42210854784).

Almost surely, 2^{13981580572960} is an apocalyptic number.

13981580572960 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 13981580572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24313452355584).

13981580572960 is an abundant number, since it is smaller than the sum of its proper divisors (34645324138208).

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

13981580572960 is a wasteful number, since it uses less digits than its factorization.

13981580572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17598 (or 17583 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 64.

The spelling of 13981580572960 in words is "thirteen trillion, nine hundred eighty-one billion, five hundred eighty million, five hundred seventy-two thousand, nine hundred sixty".