13579975270400 has 672 divisors, whose sum is σ = 43341963079680. Its totient is φ = 4096032768000.

The previous prime is 13579975270387. The next prime is 13579975270409. The reversal of 13579975270400 is 407257997531.

It is a self number, because there is not a number n which added to its sum of digits gives 13579975270400.

It is not an unprimeable number, because it can be changed into a prime (13579975270409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488843711 + ... + 488871489.

Almost surely, 2^{13579975270400} is an apocalyptic number.

13579975270400 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 13579975270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670981539840).

13579975270400 is an abundant number, since it is smaller than the sum of its proper divisors (29761987809280).

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

13579975270400 is a wasteful number, since it uses less digits than its factorization.

13579975270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27864 (or 27835 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 59.

The spelling of 13579975270400 in words is "thirteen trillion, five hundred seventy-nine billion, nine hundred seventy-five million, two hundred seventy thousand, four hundred".