12919461434880 has 2560 divisors, whose sum is σ = 59757327286272. Its totient is φ = 2292881817600.

The previous prime is 12919461434863. The next prime is 12919461434923. The reversal of 12919461434880 is 8843416491921.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×12919461434880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5481314662 + ... + 5481317018.

Almost surely, 2^{12919461434880} is an apocalyptic number.

12919461434880 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 12919461434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29878663643136).

12919461434880 is an abundant number, since it is smaller than the sum of its proper divisors (46837865851392).

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

12919461434880 is a wasteful number, since it uses less digits than its factorization.

12919461434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 12919461434880 in words is "twelve trillion, nine hundred nineteen billion, four hundred sixty-one million, four hundred thirty-four thousand, eight hundred eighty".