11509972992 has 540 divisors, whose sum is σ = 40790982960. Its totient is φ = 3232825344.

The previous prime is 11509972967. The next prime is 11509972993. The reversal of 11509972992 is 29927990511.

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

It is not an unprimeable number, because it can be changed into a prime (11509972993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195084259 + ... + 195084317.

Almost surely, 2^11509972992 is an apocalyptic number.

11509972992 is a gapful number since it is divisible by the number (12) 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 11509972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395491480).

11509972992 is an abundant number, since it is smaller than the sum of its proper divisors (29281009968).

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

11509972992 is an frugal number, since it uses more digits than its factorization.

11509972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 11509972992 in words is "eleven billion, five hundred nine million, nine hundred seventy-two thousand, nine hundred ninety-two".