11752721760 has 192 divisors, whose sum is σ = 40281941952. Its totient is φ = 2863005696.

The previous prime is 11752721759. The next prime is 11752721777. The reversal of 11752721760 is 6712725711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 595572 + ... + 614988.

It is an arithmetic number, because the mean of its divisors is an integer number (209801781).

Almost surely, 2^11752721760 is an apocalyptic number.

11752721760 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 11752721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140970976).

11752721760 is an abundant number, since it is smaller than the sum of its proper divisors (28529220192).

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

11752721760 is a wasteful number, since it uses less digits than its factorization.

11752721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19545 (or 19537 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 11752721760 in words is "eleven billion, seven hundred fifty-two million, seven hundred twenty-one thousand, seven hundred sixty".