11726761770 has 128 divisors (see below), whose sum is σ = 32156974080. Its totient is φ = 3039301440.

The previous prime is 11726761757. The next prime is 11726761771. The reversal of 11726761770 is 7716762711.

11726761770 is a `hidden beast` number, since 1 + 1 + 7 + 26 + 7 + 617 + 7 + 0 = 666.

It is a super-2 number, since 2×11726761770² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11726761771) 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 63 ways as a sum of consecutive naturals, for example, 2447317 + ... + 2452103.

It is an arithmetic number, because the mean of its divisors is an integer number (251226360).

Almost surely, 2^11726761770 is an apocalyptic number.

11726761770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11726761770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078487040).

11726761770 is an abundant number, since it is smaller than the sum of its proper divisors (20430212310).

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

11726761770 is a wasteful number, since it uses less digits than its factorization.

11726761770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 11726761770 in words is "eleven billion, seven hundred twenty-six million, seven hundred sixty-one thousand, seven hundred seventy".