11137766220 has 384 divisors, whose sum is σ = 40546222080. Its totient is φ = 2485831680.

The previous prime is 11137766219. The next prime is 11137766221. The reversal of 11137766220 is 2266773111.

It is a happy number.

11137766220 is a `hidden beast` number, since 1 + 1 + 1 + 377 + 66 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (11137766219) and next prime (11137766221).

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

It is not an unprimeable number, because it can be changed into a prime (11137766221) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49945029 + ... + 49945251.

It is an arithmetic number, because the mean of its divisors is an integer number (105589120).

Almost surely, 2^11137766220 is an apocalyptic number.

11137766220 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 11137766220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273111040).

11137766220 is an abundant number, since it is smaller than the sum of its proper divisors (29408455860).

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

11137766220 is a wasteful number, since it uses less digits than its factorization.

11137766220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11137766220 in words is "eleven billion, one hundred thirty-seven million, seven hundred sixty-six thousand, two hundred twenty".