22503228022800 has 720 divisors, whose sum is σ = 89863248384000. Its totient is φ = 5108223605760.

The previous prime is 22503228022771. The next prime is 22503228022817. The reversal of 22503228022800 is 822082230522.

22503228022800 is a `hidden beast` number, since 2 + 2 + 50 + 322 + 8 + 0 + 2 + 280 + 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 2×22503228022800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7503575701 + ... + 7503578699.

It is an arithmetic number, because the mean of its divisors is an integer number (124810067200).

Almost surely, 2^{22503228022800} is an apocalyptic number.

22503228022800 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 22503228022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44931624192000).

22503228022800 is an abundant number, since it is smaller than the sum of its proper divisors (67360020361200).

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

22503228022800 is a wasteful number, since it uses less digits than its factorization.

22503228022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22503228022800 in words is "twenty-two trillion, five hundred three billion, two hundred twenty-eight million, twenty-two thousand, eight hundred".