12929750880480 has 1728 divisors, whose sum is σ = 56449053093888. Its totient is φ = 2734743306240.

The previous prime is 12929750880479. The next prime is 12929750880547. The reversal of 12929750880480 is 8408805792921.

12929750880480 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 9 + 7 + 508 + 80 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4463150392 + ... + 4463153288.

It is an arithmetic number, because the mean of its divisors is an integer number (32667276096).

Almost surely, 2^{12929750880480} is an apocalyptic number.

12929750880480 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 12929750880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224526546944).

12929750880480 is an abundant number, since it is smaller than the sum of its proper divisors (43519302213408).

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

12929750880480 is a wasteful number, since it uses less digits than its factorization.

12929750880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 12929750880480 in words is "twelve trillion, nine hundred twenty-nine billion, seven hundred fifty million, eight hundred eighty thousand, four hundred eighty".