12610886283072 has 560 divisors, whose sum is σ = 47486354965632. Its totient is φ = 3213746565120.

The previous prime is 12610886283011. The next prime is 12610886283131. The reversal of 12610886283072 is 27038268801621.

12610886283072 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 0 + 8 + 8 + 628 + 3 + 0 + 7 + 2 = 666.

12610886283072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20857858 + ... + 21453950.

Almost surely, 2^{12610886283072} is an apocalyptic number.

12610886283072 is a gapful number since it is divisible by the number (12) 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 12610886283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743177482816).

12610886283072 is an abundant number, since it is smaller than the sum of its proper divisors (34875468682560).

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

12610886283072 is a wasteful number, since it uses less digits than its factorization.

12610886283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596188 (or 596169 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12610886283072 in words is "twelve trillion, six hundred ten billion, eight hundred eighty-six million, two hundred eighty-three thousand, seventy-two".