12774031560 has 256 divisors, whose sum is σ = 43306099200. Its totient is φ = 3348864000.

The previous prime is 12774031549. The next prime is 12774031577. The reversal of 12774031560 is 6513047721.

It is a happy number.

12774031560 is a `hidden beast` number, since 1 + 27 + 7 + 40 + 31 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19743157 + ... + 19743803.

It is an arithmetic number, because the mean of its divisors is an integer number (169164450).

Almost surely, 2^12774031560 is an apocalyptic number.

12774031560 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 12774031560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

12774031560 is an abundant number, since it is smaller than the sum of its proper divisors (30532067640).

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

12774031560 is a wasteful number, since it uses less digits than its factorization.

12774031560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 12774031560 in words is "twelve billion, seven hundred seventy-four million, thirty-one thousand, five hundred sixty".