13956268572000 has 1728 divisors, whose sum is σ = 54109399099392. Its totient is φ = 3531952512000.

The previous prime is 13956268571963. The next prime is 13956268572007. The reversal of 13956268572000 is 27586265931.

13956268572000 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 6 + 2 + 68 + 572 + 0 + 0 + 0 = 666.

13956268572000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13956268572007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62584163889 + ... + 62584164111.

It is an arithmetic number, because the mean of its divisors is an integer number (31313309664).

Almost surely, 2^{13956268572000} is an apocalyptic number.

13956268572000 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 13956268572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054699549696).

13956268572000 is an abundant number, since it is smaller than the sum of its proper divisors (40153130527392).

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

13956268572000 is an equidigital number, since it uses as much as digits as its factorization.

13956268572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13956268572000 in words is "thirteen trillion, nine hundred fifty-six billion, two hundred sixty-eight million, five hundred seventy-two thousand".