11781261744 has 160 divisors (see below), whose sum is σ = 35380592640. Its totient is φ = 3308524800.

The previous prime is 11781261683. The next prime is 11781261763. The reversal of 11781261744 is 44716218711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11781261696 and 11781261705.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11426509 + ... + 11427539.

It is an arithmetic number, because the mean of its divisors is an integer number (221128704).

Almost surely, 2^11781261744 is an apocalyptic number.

11781261744 is a gapful number since it is divisible by the number (14) 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 11781261744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690296320).

11781261744 is an abundant number, since it is smaller than the sum of its proper divisors (23599330896).

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

11781261744 is a wasteful number, since it uses less digits than its factorization.

11781261744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The spelling of 11781261744 in words is "eleven billion, seven hundred eighty-one million, two hundred sixty-one thousand, seven hundred forty-four".