11166792000 has 448 divisors, whose sum is σ = 45390718464. Its totient is φ = 2355609600.

The previous prime is 11166791947. The next prime is 11166792011. The reversal of 11166792000 is 29766111.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181444 + ... + 2186556.

It is an arithmetic number, because the mean of its divisors is an integer number (101318568).

Almost surely, 2^11166792000 is an apocalyptic number.

11166792000 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 11166792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695359232).

11166792000 is an abundant number, since it is smaller than the sum of its proper divisors (34223926464).

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

11166792000 is a wasteful number, since it uses less digits than its factorization.

11166792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 11166792000 in words is "eleven billion, one hundred sixty-six million, seven hundred ninety-two thousand".