22503780000 has 720 divisors, whose sum is σ = 88116668640. Its totient is φ = 5412096000.

The previous prime is 22503779989. The next prime is 22503780041. The reversal of 22503780000 is 8730522.

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

It is a super-2 number, since 2×22503780000² (a number of 22 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 138059919 + ... + 138060081.

It is an arithmetic number, because the mean of its divisors is an integer number (122384262).

Almost surely, 2^22503780000 is an apocalyptic number.

22503780000 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 22503780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44058334320).

22503780000 is an abundant number, since it is smaller than the sum of its proper divisors (65612888640).

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

22503780000 is a wasteful number, since it uses less digits than its factorization.

22503780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 22503780000 in words is "twenty-two billion, five hundred three million, seven hundred eighty thousand".