12787295040 has 560 divisors, whose sum is σ = 49521325392. Its totient is φ = 3113385984.

The previous prime is 12787294999. The next prime is 12787295047. The reversal of 12787295040 is 4059278721.

It is a happy number.

12787295040 is a `hidden beast` number, since 1 + 2 + 78 + 72 + 9 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1947986496 + 10839308544 = 44136^2 + 104112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787295047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46163382 + ... + 46163658.

Almost surely, 2^12787295040 is an apocalyptic number.

12787295040 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 12787295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760662696).

12787295040 is an abundant number, since it is smaller than the sum of its proper divisors (36734030352).

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

12787295040 is a wasteful number, since it uses less digits than its factorization.

12787295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12787295040 in words is "twelve billion, seven hundred eighty-seven million, two hundred ninety-five thousand, forty".