11059777260 has 360 divisors, whose sum is σ = 42489382320. Its totient is φ = 2394572544.

The previous prime is 11059777259. The next prime is 11059777271. The reversal of 11059777260 is 6277795011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1504554 + ... + 1511886.

It is an arithmetic number, because the mean of its divisors is an integer number (118026062).

Almost surely, 2^11059777260 is an apocalyptic number.

11059777260 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 11059777260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244691160).

11059777260 is an abundant number, since it is smaller than the sum of its proper divisors (31429605060).

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

11059777260 is a wasteful number, since it uses less digits than its factorization.

11059777260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 11059777260 in words is "eleven billion, fifty-nine million, seven hundred seventy-seven thousand, two hundred sixty".