11077637760 has 800 divisors, whose sum is σ = 46669421700. Its totient is φ = 2503581696.

The previous prime is 11077637741. The next prime is 11077637789. The reversal of 11077637760 is 6773677011.

11077637760 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 7 + 637 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10467745344 + 609892416 = 102312^2 + 24696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 99 ways as a sum of consecutive naturals, for example, 124467796 + ... + 124467884.

Almost surely, 2^11077637760 is an apocalyptic number.

11077637760 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 11077637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334710850).

11077637760 is an abundant number, since it is smaller than the sum of its proper divisors (35591783940).

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

11077637760 is an frugal number, since it uses more digits than its factorization.

11077637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The spelling of 11077637760 in words is "eleven billion, seventy-seven million, six hundred thirty-seven thousand, seven hundred sixty".