12958709280 has 384 divisors, whose sum is σ = 47112855552. Its totient is φ = 2964480000.

The previous prime is 12958709273. The next prime is 12958709333. The reversal of 12958709280 is 8290785921.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6709915 + ... + 6711845.

It is an arithmetic number, because the mean of its divisors is an integer number (122689728).

Almost surely, 2^12958709280 is an apocalyptic number.

12958709280 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 12958709280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556427776).

12958709280 is an abundant number, since it is smaller than the sum of its proper divisors (34154146272).

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

12958709280 is a wasteful number, since it uses less digits than its factorization.

12958709280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 12958709280 in words is "twelve billion, nine hundred fifty-eight million, seven hundred nine thousand, two hundred eighty".