12263780760 has 384 divisors, whose sum is σ = 47104727040. Its totient is φ = 2546691840.

The previous prime is 12263780719. The next prime is 12263780779. The reversal of 12263780760 is 6708736221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7825497 + ... + 7827063.

It is an arithmetic number, because the mean of its divisors is an integer number (122668560).

Almost surely, 2^12263780760 is an apocalyptic number.

12263780760 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 12263780760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23552363520).

12263780760 is an abundant number, since it is smaller than the sum of its proper divisors (34840946280).

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

12263780760 is a wasteful number, since it uses less digits than its factorization.

12263780760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 12263780760 in words is "twelve billion, two hundred sixty-three million, seven hundred eighty thousand, seven hundred sixty".