11724130880 has 448 divisors, whose sum is σ = 37219737600. Its totient is φ = 3407339520.

The previous prime is 11724130879. The next prime is 11724130921. The reversal of 11724130880 is 8803142711.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11724130880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36984482 + ... + 36984798.

Almost surely, 2^11724130880 is an apocalyptic number.

11724130880 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 11724130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609868800).

11724130880 is an abundant number, since it is smaller than the sum of its proper divisors (25495606720).

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

11724130880 is a wasteful number, since it uses less digits than its factorization.

11724130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 11724130880 in words is "eleven billion, seven hundred twenty-four million, one hundred thirty thousand, eight hundred eighty".