11772883640 has 256 divisors, whose sum is σ = 32238673920. Its totient is φ = 3784734720.

The previous prime is 11772883637. The next prime is 11772883651. The reversal of 11772883640 is 4638827711.

It is a happy number.

It is a congruent number.

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, 72226199 + ... + 72226361.

It is an arithmetic number, because the mean of its divisors is an integer number (125932320).

Almost surely, 2^11772883640 is an apocalyptic number.

11772883640 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 11772883640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119336960).

11772883640 is an abundant number, since it is smaller than the sum of its proper divisors (20465790280).

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

11772883640 is a wasteful number, since it uses less digits than its factorization.

11772883640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 11772883640 in words is "eleven billion, seven hundred seventy-two million, eight hundred eighty-three thousand, six hundred forty".