12775371840 has 1120 divisors, whose sum is σ = 58525403904. Its totient is φ = 2567946240.

The previous prime is 12775371799. The next prime is 12775371841. The reversal of 12775371840 is 4817357721.

12775371840 is a `hidden beast` number, since 1 + 2 + 77 + 537 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (12775371841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73845994 + ... + 73846166.

Almost surely, 2^12775371840 is an apocalyptic number.

12775371840 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 12775371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262701952).

12775371840 is an abundant number, since it is smaller than the sum of its proper divisors (45750032064).

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

12775371840 is a wasteful number, since it uses less digits than its factorization.

12775371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 12775371840 in words is "twelve billion, seven hundred seventy-five million, three hundred seventy-one thousand, eight hundred forty".