11761087728 has 80 divisors (see below), whose sum is σ = 32741932160. Its totient is φ = 3616365312.

The previous prime is 11761087703. The next prime is 11761087729. The reversal of 11761087728 is 82778016711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11761087729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069683 + ... + 1080621.

It is an arithmetic number, because the mean of its divisors is an integer number (409274152).

Almost surely, 2^11761087728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11761087728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370966080).

11761087728 is an abundant number, since it is smaller than the sum of its proper divisors (20980844432).

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

11761087728 is a wasteful number, since it uses less digits than its factorization.

11761087728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 48.

The spelling of 11761087728 in words is "eleven billion, seven hundred sixty-one million, eighty-seven thousand, seven hundred twenty-eight".