21558065760 has 1152 divisors, whose sum is σ = 100387123200. Its totient is φ = 4232632320.

The previous prime is 21558065743. The next prime is 21558065773. The reversal of 21558065760 is 6756085512.

21558065760 is a `hidden beast` number, since 2 + 1 + 5 + 580 + 6 + 5 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56881251 + ... + 56881629.

It is an arithmetic number, because the mean of its divisors is an integer number (87141600).

Almost surely, 2^21558065760 is an apocalyptic number.

21558065760 is a gapful number since it is divisible by the number (20) 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 21558065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

21558065760 is an abundant number, since it is smaller than the sum of its proper divisors (78829057440).

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

21558065760 is a wasteful number, since it uses less digits than its factorization.

21558065760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 21558065760 in words is "twenty-one billion, five hundred fifty-eight million, sixty-five thousand, seven hundred sixty".