13495004429760 has 2240 divisors, whose sum is σ = 60132816691200. Its totient is φ = 2804071882752.

The previous prime is 13495004429737. The next prime is 13495004429849. The reversal of 13495004429760 is 6792440059431.

13495004429760 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 50 + 0 + 442 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 13495004429697 and 13495004429706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8745951549 + ... + 8745953091.

Almost surely, 2^{13495004429760} is an apocalyptic number.

13495004429760 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 13495004429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30066408345600).

13495004429760 is an abundant number, since it is smaller than the sum of its proper divisors (46637812261440).

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

13495004429760 is a wasteful number, since it uses less digits than its factorization.

13495004429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13495004429760 in words is "thirteen trillion, four hundred ninety-five billion, four million, four hundred twenty-nine thousand, seven hundred sixty".