12795738480000 has 3840 divisors, whose sum is σ = 59153814720000. Its totient is φ = 2743372800000.

The previous prime is 12795738479959. The next prime is 12795738480067. The reversal of 12795738480000 is 8483759721.

It is a happy number.

12795738480000 is a `hidden beast` number, since 1 + 2 + 7 + 95 + 73 + 8 + 480 + 0 + 0 + 0 = 666.

12795738480000 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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 126690479950 + ... + 126690480050.

It is an arithmetic number, because the mean of its divisors is an integer number (15404639250).

Almost surely, 2^{12795738480000} is an apocalyptic number.

12795738480000 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 12795738480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29576907360000).

12795738480000 is an abundant number, since it is smaller than the sum of its proper divisors (46358076240000).

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

12795738480000 is an frugal number, since it uses more digits than its factorization.

12795738480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12795738480000 in words is "twelve trillion, seven hundred ninety-five billion, seven hundred thirty-eight million, four hundred eighty thousand".