13562760038400 has 864 divisors, whose sum is σ = 49807660855680. Its totient is φ = 3525690654720.

The previous prime is 13562760038369. The next prime is 13562760038417. The reversal of 13562760038400 is 483006726531.

13562760038400 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 2 + 7 + 600 + 38 + 4 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3980849497 + ... + 3980852903.

It is an arithmetic number, because the mean of its divisors is an integer number (57647755620).

Almost surely, 2^{13562760038400} is an apocalyptic number.

13562760038400 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 13562760038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24903830427840).

13562760038400 is an abundant number, since it is smaller than the sum of its proper divisors (36244900817280).

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

13562760038400 is a wasteful number, since it uses less digits than its factorization.

13562760038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13562760038400 in words is "thirteen trillion, five hundred sixty-two billion, seven hundred sixty million, thirty-eight thousand, four hundred".