11566791600 has 480 divisors, whose sum is σ = 46259372544. Its totient is φ = 2405376000.

The previous prime is 11566791553. The next prime is 11566791601. The reversal of 11566791600 is 619766511.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11566791601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7970875 + ... + 7972325.

Almost surely, 2^11566791600 is an apocalyptic number.

11566791600 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 11566791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23129686272).

11566791600 is an abundant number, since it is smaller than the sum of its proper divisors (34692580944).

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

11566791600 is a wasteful number, since it uses less digits than its factorization.

11566791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 11566791600 in words is "eleven billion, five hundred sixty-six million, seven hundred ninety-one thousand, six hundred".