12861956749520 has 160 divisors (see below), whose sum is σ = 31735304167680. Its totient is φ = 4834255564800.

The previous prime is 12861956749489. The next prime is 12861956749553. The reversal of 12861956749520 is 2594765916821.

12861956749520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149833652 + ... + 149919468.

It is an arithmetic number, because the mean of its divisors is an integer number (198345651048).

Almost surely, 2^{12861956749520} is an apocalyptic number.

12861956749520 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 12861956749520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867652083840).

12861956749520 is an abundant number, since it is smaller than the sum of its proper divisors (18873347418160).

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

12861956749520 is a wasteful number, since it uses less digits than its factorization.

12861956749520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86653 (or 86647 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 65.

The spelling of 12861956749520 in words is "twelve trillion, eight hundred sixty-one billion, nine hundred fifty-six million, seven hundred forty-nine thousand, five hundred twenty".