11077335360 has 896 divisors, whose sum is σ = 49007938560. Its totient is φ = 2293235712.

The previous prime is 11077335329. The next prime is 11077335361. The reversal of 11077335360 is 6353377011.

It is a happy number.

11077335360 is a `hidden beast` number, since 110 + 7 + 7 + 3 + 3 + 536 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077335361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57395424 + ... + 57395616.

It is an arithmetic number, because the mean of its divisors is an integer number (54696360).

Almost surely, 2^11077335360 is an apocalyptic number.

11077335360 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 11077335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503969280).

11077335360 is an abundant number, since it is smaller than the sum of its proper divisors (37930603200).

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

11077335360 is a wasteful number, since it uses less digits than its factorization.

11077335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The spelling of 11077335360 in words is "eleven billion, seventy-seven million, three hundred thirty-five thousand, three hundred sixty".