12758137502880 has 3072 divisors, whose sum is σ = 57940033536000. Its totient is φ = 2325549219840.

The previous prime is 12758137502839. The next prime is 12758137502893. The reversal of 12758137502880 is 8820573185721.

It is a self number, because there is not a number n which added to its sum of digits gives 12758137502880.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30449015311 + ... + 30449015729.

It is an arithmetic number, because the mean of its divisors is an integer number (18860688000).

Almost surely, 2^{12758137502880} is an apocalyptic number.

12758137502880 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 12758137502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28970016768000).

12758137502880 is an abundant number, since it is smaller than the sum of its proper divisors (45181896033120).

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

12758137502880 is a wasteful number, since it uses less digits than its factorization.

12758137502880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 12758137502880 in words is "twelve trillion, seven hundred fifty-eight billion, one hundred thirty-seven million, five hundred two thousand, eight hundred eighty".