12753892704 has 96 divisors (see below), whose sum is σ = 38563209216. Its totient is φ = 3615252480.

The previous prime is 12753892699. The next prime is 12753892757. The reversal of 12753892704 is 40729835721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10624 + ... + 160064.

It is an arithmetic number, because the mean of its divisors is an integer number (401700096).

Almost surely, 2^12753892704 is an apocalyptic number.

12753892704 is a gapful number since it is divisible by the number (14) 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 12753892704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281604608).

12753892704 is an abundant number, since it is smaller than the sum of its proper divisors (25809316512).

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

12753892704 is a wasteful number, since it uses less digits than its factorization.

12753892704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149588 (or 149580 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 12753892704 in words is "twelve billion, seven hundred fifty-three million, eight hundred ninety-two thousand, seven hundred four".