13972259520 has 504 divisors, whose sum is σ = 51630864480. Its totient is φ = 3467059200.

The previous prime is 13972259513. The next prime is 13972259533. The reversal of 13972259520 is 2595227931.

13972259520 is a `hidden beast` number, since 1 + 3 + 9 + 72 + 2 + 59 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92531445 + ... + 92531595.

Almost surely, 2^13972259520 is an apocalyptic number.

13972259520 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 13972259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25815432240).

13972259520 is an abundant number, since it is smaller than the sum of its proper divisors (37658604960).

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

13972259520 is a wasteful number, since it uses less digits than its factorization.

13972259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 13972259520 in words is "thirteen billion, nine hundred seventy-two million, two hundred fifty-nine thousand, five hundred twenty".