11611684350760 has 128 divisors (see below), whose sum is σ = 28603319270400. Its totient is φ = 4216211112960.

The previous prime is 11611684350731. The next prime is 11611684350811. The reversal of 11611684350760 is 6705348611611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159800757 + ... + 159873403.

It is an arithmetic number, because the mean of its divisors is an integer number (223463431800).

Almost surely, 2^{11611684350760} is an apocalyptic number.

11611684350760 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 11611684350760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301659635200).

11611684350760 is an abundant number, since it is smaller than the sum of its proper divisors (16991634919640).

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

11611684350760 is a wasteful number, since it uses less digits than its factorization.

11611684350760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77771 (or 77767 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 11611684350760 in words is "eleven trillion, six hundred eleven billion, six hundred eighty-four million, three hundred fifty thousand, seven hundred sixty".