13540386024000 has 1344 divisors, whose sum is σ = 55739651385600. Its totient is φ = 3103100928000.

The previous prime is 13540386023987. The next prime is 13540386024037. The reversal of 13540386024000 is 42068304531.

13540386024000 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 0 + 3 + 8 + 602 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11993255436 + ... + 11993256564.

It is an arithmetic number, because the mean of its divisors is an integer number (41472954900).

Almost surely, 2^{13540386024000} is an apocalyptic number.

13540386024000 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 13540386024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869825692800).

13540386024000 is an abundant number, since it is smaller than the sum of its proper divisors (42199265361600).

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

13540386024000 is a wasteful number, since it uses less digits than its factorization.

13540386024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13540386024000 in words is "thirteen trillion, five hundred forty billion, three hundred eighty-six million, twenty-four thousand".