13540864760192 has 256 divisors, whose sum is σ = 34366408980480. Its totient is φ = 5160635105280.

The previous prime is 13540864760173. The next prime is 13540864760201. The reversal of 13540864760192 is 29106746804531.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 997331708 + ... + 997345284.

It is an arithmetic number, because the mean of its divisors is an integer number (134243785080).

It is a 1-persistent number, because it is pandigital, but 2⋅13540864760192 = 27081729520384 is not.

Almost surely, 2^{13540864760192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540864760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183204490240).

13540864760192 is an abundant number, since it is smaller than the sum of its proper divisors (20825544220288).

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

13540864760192 is a wasteful number, since it uses less digits than its factorization.

13540864760192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15809 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 13540864760192 in words is "thirteen trillion, five hundred forty billion, eight hundred sixty-four million, seven hundred sixty thousand, one hundred ninety-two".