11759880 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 2784000.

The previous prime is 11759863. The next prime is 11759887. The reversal of 11759880 is 8895711.

11759880 = T₃₃₀ + T₃₃₁ + ... + T₄₇₃.

It is a super-2 number, since 2×11759880² = 276589555228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11759887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77805 + ... + 77955.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^11759880 is an apocalyptic number.

11759880 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 11759880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

11759880 is an abundant number, since it is smaller than the sum of its proper divisors (27638520).

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

11759880 is a wasteful number, since it uses less digits than its factorization.

11759880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 11759880 is about 3429.2681434965. The cubic root of 11759880 is about 227.4054995348.

The spelling of 11759880 in words is "eleven million, seven hundred fifty-nine thousand, eight hundred eighty".