12507261760 has 224 divisors, whose sum is σ = 36780825600. Its totient is φ = 4035354624.

The previous prime is 12507261757. The next prime is 12507261799. The reversal of 12507261760 is 6716270521.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1862569 + ... + 1869271.

Almost surely, 2^12507261760 is an apocalyptic number.

12507261760 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 12507261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390412800).

12507261760 is an abundant number, since it is smaller than the sum of its proper divisors (24273563840).

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

12507261760 is an equidigital number, since it uses as much as digits as its factorization.

12507261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 12507261760 in words is "twelve billion, five hundred seven million, two hundred sixty-one thousand, seven hundred sixty".