12661531410 has 128 divisors (see below), whose sum is σ = 35029324800. Its totient is φ = 2896715520.

The previous prime is 12661531373. The next prime is 12661531411. The reversal of 12661531410 is 1413516621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12661531411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1682877 + ... + 1690383.

It is an arithmetic number, because the mean of its divisors is an integer number (273666600).

Almost surely, 2^12661531410 is an apocalyptic number.

12661531410 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 12661531410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514662400).

12661531410 is an abundant number, since it is smaller than the sum of its proper divisors (22367793390).

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

12661531410 is a wasteful number, since it uses less digits than its factorization.

12661531410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 12661531410 in words is "twelve billion, six hundred sixty-one million, five hundred thirty-one thousand, four hundred ten".