22093378560 has 880 divisors, whose sum is σ = 89880658560. Its totient is φ = 5140316160.

The previous prime is 22093378523. The next prime is 22093378583. The reversal of 22093378560 is 6587339022.

22093378560 is a `hidden beast` number, since 220 + 9 + 3 + 378 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132295597 + ... + 132295763.

It is an arithmetic number, because the mean of its divisors is an integer number (102137112).

Almost surely, 2^22093378560 is an apocalyptic number.

22093378560 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 22093378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44940329280).

22093378560 is an abundant number, since it is smaller than the sum of its proper divisors (67787280000).

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

22093378560 is a wasteful number, since it uses less digits than its factorization.

22093378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 22093378560 in words is "twenty-two billion, ninety-three million, three hundred seventy-eight thousand, five hundred sixty".