12958372880640 has 1152 divisors, whose sum is σ = 51991511040000. Its totient is φ = 3027429457920.

The previous prime is 12958372880591. The next prime is 12958372880653. The reversal of 12958372880640 is 4608827385921.

12958372880640 is a `hidden beast` number, since 1 + 2 + 9 + 583 + 7 + 2 + 8 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10131643521 + ... + 10131644799.

It is an arithmetic number, because the mean of its divisors is an integer number (45131520000).

It is a 1-persistent number, because it is pandigital, but 2⋅12958372880640 = 25916745761280 is not.

Almost surely, 2^{12958372880640} is an apocalyptic number.

12958372880640 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 12958372880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25995755520000).

12958372880640 is an abundant number, since it is smaller than the sum of its proper divisors (39033138159360).

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

12958372880640 is a wasteful number, since it uses less digits than its factorization.

12958372880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 12958372880640 in words is "twelve trillion, nine hundred fifty-eight billion, three hundred seventy-two million, eight hundred eighty thousand, six hundred forty".