11077516800 has 960 divisors, whose sum is σ = 49117094400. Its totient is φ = 2388787200.

The previous prime is 11077516799. The next prime is 11077516811. The reversal of 11077516800 is 861577011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11077516800² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45964680 + ... + 45964920.

It is an arithmetic number, because the mean of its divisors is an integer number (51163640).

Almost surely, 2^11077516800 is an apocalyptic number.

11077516800 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 11077516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558547200).

11077516800 is an abundant number, since it is smaller than the sum of its proper divisors (38039577600).

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

11077516800 is a wasteful number, since it uses less digits than its factorization.

11077516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 11077516800 in words is "eleven billion, seventy-seven million, five hundred sixteen thousand, eight hundred".