13972582260 has 432 divisors, whose sum is σ = 54822523392. Its totient is φ = 2852236800.

The previous prime is 13972582241. The next prime is 13972582279. The reversal of 13972582260 is 6228527931.

13972582260 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 2 + 582 + 2 + 60 = 666.

13972582260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13972582241) and next prime (13972582279).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3552495 + ... + 3556425.

Almost surely, 2^13972582260 is an apocalyptic number.

13972582260 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 13972582260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27411261696).

13972582260 is an abundant number, since it is smaller than the sum of its proper divisors (40849941132).

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

13972582260 is a wasteful number, since it uses less digits than its factorization.

13972582260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13972582260 in words is "thirteen billion, nine hundred seventy-two million, five hundred eighty-two thousand, two hundred sixty".