11761742000 has 80 divisors (see below), whose sum is σ = 28597898784. Its totient is φ = 4678560000.

The previous prime is 11761741987. The next prime is 11761742017. The reversal of 11761742000 is 24716711.

11761742000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 345755 + ... + 378245.

Almost surely, 2^11761742000 is an apocalyptic number.

11761742000 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 11761742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14298949392).

11761742000 is an abundant number, since it is smaller than the sum of its proper divisors (16836156784).

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

11761742000 is a wasteful number, since it uses less digits than its factorization.

11761742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32695 (or 32679 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The spelling of 11761742000 in words is "eleven billion, seven hundred sixty-one million, seven hundred forty-two thousand".