12754838880 has 768 divisors, whose sum is σ = 55372584960. Its totient is φ = 2675441664.

The previous prime is 12754838879. The next prime is 12754838893. The reversal of 12754838880 is 8883845721.

12754838880 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 483 + 88 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 22105152 + ... + 22105728.

It is an arithmetic number, because the mean of its divisors is an integer number (72099720).

Almost surely, 2^12754838880 is an apocalyptic number.

12754838880 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 12754838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27686292480).

12754838880 is an abundant number, since it is smaller than the sum of its proper divisors (42617746080).

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

12754838880 is a wasteful number, since it uses less digits than its factorization.

12754838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 12754838880 in words is "twelve billion, seven hundred fifty-four million, eight hundred thirty-eight thousand, eight hundred eighty".