11554072992 has 504 divisors, whose sum is σ = 43166777472. Its totient is φ = 2904249600.

The previous prime is 11554072987. The next prime is 11554072997. The reversal of 11554072992 is 29927045511.

11554072992 is a `hidden beast` number, since 1 + 1 + 554 + 0 + 7 + 2 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (11554072987) and next prime (11554072997).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (11554072997) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 372712017 + ... + 372712047.

It is an arithmetic number, because the mean of its divisors is an integer number (85648368).

Almost surely, 2^11554072992 is an apocalyptic number.

11554072992 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 11554072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583388736).

11554072992 is an abundant number, since it is smaller than the sum of its proper divisors (31612704480).

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

11554072992 is an frugal number, since it uses more digits than its factorization.

11554072992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11554072992 in words is "eleven billion, five hundred fifty-four million, seventy-two thousand, nine hundred ninety-two".