11711767770 has 144 divisors (see below), whose sum is σ = 32245218720. Its totient is φ = 2948871744.

The previous prime is 11711767733. The next prime is 11711767807. The reversal of 11711767770 is 7776711711.

11711767770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11711767733) and next prime (11711767807).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17771701 + ... + 17772359.

It is an arithmetic number, because the mean of its divisors is an integer number (223925130).

Almost surely, 2^11711767770 is an apocalyptic number.

11711767770 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 11711767770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122609360).

11711767770 is an abundant number, since it is smaller than the sum of its proper divisors (20533450950).

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

11711767770 is a wasteful number, since it uses less digits than its factorization.

11711767770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 100842, while the sum is 45.

The spelling of 11711767770 in words is "eleven billion, seven hundred eleven million, seven hundred sixty-seven thousand, seven hundred seventy".