12561536790 has 96 divisors (see below), whose sum is σ = 35690836896. Its totient is φ = 3039943680.

The previous prime is 12561536737. The next prime is 12561536791. The reversal of 12561536790 is 9763516521.

12561536790 is a `hidden beast` number, since 1 + 25 + 6 + 1 + 536 + 7 + 90 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12561536791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576372 + ... + 597768.

It is an arithmetic number, because the mean of its divisors is an integer number (371779551).

Almost surely, 2^12561536790 is an apocalyptic number.

12561536790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12561536790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845418448).

12561536790 is an abundant number, since it is smaller than the sum of its proper divisors (23129300106).

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

12561536790 is a wasteful number, since it uses less digits than its factorization.

12561536790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22014 (or 22011 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 12561536790 in words is "twelve billion, five hundred sixty-one million, five hundred thirty-six thousand, seven hundred ninety".