11880760320 has 704 divisors, whose sum is σ = 49686094080. Its totient is φ = 2654208000.

The previous prime is 11880760303. The next prime is 11880760429. The reversal of 11880760320 is 2306708811.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 19768020 + ... + 19768620.

Almost surely, 2^11880760320 is an apocalyptic number.

11880760320 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 11880760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24843047040).

11880760320 is an abundant number, since it is smaller than the sum of its proper divisors (37805333760).

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

11880760320 is a wasteful number, since it uses less digits than its factorization.

11880760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 11880 and 760320, that multiplied together give a square (9032601600 = 95040²).

The spelling of 11880760320 in words is "eleven billion, eight hundred eighty million, seven hundred sixty thousand, three hundred twenty".