11551582080 has 192 divisors, whose sum is σ = 41176437120. Its totient is φ = 2981007360.

The previous prime is 11551582043. The next prime is 11551582099. The reversal of 11551582080 is 8028515511.

11551582080 is a `hidden beast` number, since 1 + 1 + 551 + 5 + 8 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146214 + ... + 210906.

It is an arithmetic number, because the mean of its divisors is an integer number (214460610).

Almost surely, 2^11551582080 is an apocalyptic number.

11551582080 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 11551582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20588218560).

11551582080 is an abundant number, since it is smaller than the sum of its proper divisors (29624855040).

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

11551582080 is a wasteful number, since it uses less digits than its factorization.

11551582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64749 (or 64734 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 36.

The spelling of 11551582080 in words is "eleven billion, five hundred fifty-one million, five hundred eighty-two thousand, eighty".