11992428864 has 448 divisors, whose sum is σ = 41538631680. Its totient is φ = 3357573120.

The previous prime is 11992428823. The next prime is 11992428869. The reversal of 11992428864 is 46882429911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11992428864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11992428869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11838022 + ... + 11839034.

It is an arithmetic number, because the mean of its divisors is an integer number (92720160).

Almost surely, 2^11992428864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11992428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769315840).

11992428864 is an abundant number, since it is smaller than the sum of its proper divisors (29546202816).

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

11992428864 is a wasteful number, since it uses less digits than its factorization.

11992428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 11992428864 in words is "eleven billion, nine hundred ninety-two million, four hundred twenty-eight thousand, eight hundred sixty-four".