12958414560 has 1152 divisors, whose sum is σ = 60377063040. Its totient is φ = 2563964928.

The previous prime is 12958414559. The next prime is 12958414571. The reversal of 12958414560 is 6541485921.

12958414560 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 84 + 1 + 4 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46781142 + ... + 46781418.

It is an arithmetic number, because the mean of its divisors is an integer number (52410645).

Almost surely, 2^12958414560 is an apocalyptic number.

12958414560 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 12958414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30188531520).

12958414560 is an abundant number, since it is smaller than the sum of its proper divisors (47418648480).

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

12958414560 is a wasteful number, since it uses less digits than its factorization.

12958414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12958414560 in words is "twelve billion, nine hundred fifty-eight million, four hundred fourteen thousand, five hundred sixty".