11760284952 has 96 divisors (see below), whose sum is σ = 34551578880. Its totient is φ = 3592097280.

The previous prime is 11760284933. The next prime is 11760284969. The reversal of 11760284952 is 25948206711.

It is a junction number, because it is equal to n+sod(n) for n = 11760284898 and 11760284907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82377 + ... + 174087.

It is an arithmetic number, because the mean of its divisors is an integer number (359912280).

Almost surely, 2^11760284952 is an apocalyptic number.

11760284952 is a gapful number since it is divisible by the number (12) 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 11760284952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275789440).

11760284952 is an abundant number, since it is smaller than the sum of its proper divisors (22791293928).

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

11760284952 is a wasteful number, since it uses less digits than its factorization.

11760284952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91873 (or 91866 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11760284952 in words is "eleven billion, seven hundred sixty million, two hundred eighty-four thousand, nine hundred fifty-two".