12777742740 has 144 divisors (see below), whose sum is σ = 41667091200. Its totient is φ = 2917248768.

The previous prime is 12777742739. The next prime is 12777742771. The reversal of 12777742740 is 4724777721.

It is a self number, because there is not a number n which added to its sum of digits gives 12777742740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258501 + ... + 3262419.

It is an arithmetic number, because the mean of its divisors is an integer number (289354800).

Almost surely, 2^12777742740 is an apocalyptic number.

12777742740 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 12777742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20833545600).

12777742740 is an abundant number, since it is smaller than the sum of its proper divisors (28889348460).

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

12777742740 is a wasteful number, since it uses less digits than its factorization.

12777742740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 1075648, while the sum is 48.

The spelling of 12777742740 in words is "twelve billion, seven hundred seventy-seven million, seven hundred forty-two thousand, seven hundred forty".