22066556400 has 720 divisors, whose sum is σ = 92415418368. Its totient is φ = 4769280000.

The previous prime is 22066556381. The next prime is 22066556411. The reversal of 22066556400 is 465566022.

22066556400 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 6 + 5 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22066556400² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36716100 + ... + 36716700.

Almost surely, 2^22066556400 is an apocalyptic number.

22066556400 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 22066556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207709184).

22066556400 is an abundant number, since it is smaller than the sum of its proper divisors (70348861968).

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

22066556400 is a wasteful number, since it uses less digits than its factorization.

22066556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22066556400 in words is "twenty-two billion, sixty-six million, five hundred fifty-six thousand, four hundred".