22435504000000 has 1232 divisors, whose sum is σ = 72718744188160. Its totient is φ = 6718464000000.

The previous prime is 22435503999989. The next prime is 22435504000037. The reversal of 22435504000000 is 40553422.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 111 ways as a sum of consecutive naturals, for example, 27663999595 + ... + 27664000405.

Almost surely, 2^{22435504000000} is an apocalyptic number.

22435504000000 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 22435504000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36359372094080).

22435504000000 is an abundant number, since it is smaller than the sum of its proper divisors (50283240188160).

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

22435504000000 is an frugal number, since it uses more digits than its factorization.

22435504000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 22435504000000 its reverse (40553422), we get a palindrome (22435544553422).

The spelling of 22435504000000 in words is "twenty-two trillion, four hundred thirty-five billion, five hundred four million", and thus it is an aban number.