11166076800 has 480 divisors, whose sum is σ = 43019768880. Its totient is φ = 2846638080.

The previous prime is 11166076787. The next prime is 11166076811. The reversal of 11166076800 is 867066111.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11166076800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5960664 + ... + 5962536.

Almost surely, 2^11166076800 is an apocalyptic number.

11166076800 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 11166076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509884440).

11166076800 is an abundant number, since it is smaller than the sum of its proper divisors (31853692080).

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

11166076800 is a wasteful number, since it uses less digits than its factorization.

11166076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11166076800 in words is "eleven billion, one hundred sixty-six million, seventy-six thousand, eight hundred".