12855767040 has 416 divisors, whose sum is σ = 46519637760. Its totient is φ = 3367305216.

The previous prime is 12855767033. The next prime is 12855767083. The reversal of 12855767040 is 4076755821.

12855767040 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 576 + 70 + 4 + 0 = 666.

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

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, 37048147 + ... + 37048493.

Almost surely, 2^12855767040 is an apocalyptic number.

12855767040 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 12855767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23259818880).

12855767040 is an abundant number, since it is smaller than the sum of its proper divisors (33663870720).

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

12855767040 is an equidigital number, since it uses as much as digits as its factorization.

12855767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 12855767040 in words is "twelve billion, eight hundred fifty-five million, seven hundred sixty-seven thousand, forty".