13797578039112 has 768 divisors, whose sum is σ = 49109667840000. Its totient is φ = 3564581852160.

The previous prime is 13797578039051. The next prime is 13797578039153. The reversal of 13797578039112 is 21193087579731.

13797578039112 is a `hidden beast` number, since 1 + 37 + 97 + 57 + 80 + 391 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13797578039112.

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, 455065089 + ... + 455095407.

It is an arithmetic number, because the mean of its divisors is an integer number (63944880000).

Almost surely, 2^{13797578039112} is an apocalyptic number.

13797578039112 is a gapful number since it is divisible by the number (12) 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 13797578039112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554833920000).

13797578039112 is an abundant number, since it is smaller than the sum of its proper divisors (35312089800888).

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

13797578039112 is a wasteful number, since it uses less digits than its factorization.

13797578039112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30471 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 13797578039112 in words is "thirteen trillion, seven hundred ninety-seven billion, five hundred seventy-eight million, thirty-nine thousand, one hundred twelve".