56221102080 has 1248 divisors, whose sum is σ = 240430095360. Its totient is φ = 12421693440.

The previous prime is 56221102079. The next prime is 56221102081. The reversal of 56221102080 is 8020112265.

It is a happy number.

56221102080 is a `hidden beast` number, since 5 + 622 + 1 + 10 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56221102079) and next prime (56221102081).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56221102081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 711659481 + ... + 711659559.

It is an arithmetic number, because the mean of its divisors is an integer number (192652320).

Almost surely, 2^56221102080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56221102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120215047680).

56221102080 is an abundant number, since it is smaller than the sum of its proper divisors (184208993280).

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

56221102080 is a wasteful number, since it uses less digits than its factorization.

56221102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 56221102080 in words is "fifty-six billion, two hundred twenty-one million, one hundred two thousand, eighty".