22605090000 has 300 divisors, whose sum is σ = 76567965408. Its totient is φ = 5734080000.

The previous prime is 22605089989. The next prime is 22605090017. The reversal of 22605090000 is 9050622.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-4 number, since 4×22605090000⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 124889910 + ... + 124890090.

Almost surely, 2^22605090000 is an apocalyptic number.

22605090000 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 22605090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38283982704).

22605090000 is an abundant number, since it is smaller than the sum of its proper divisors (53962875408).

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

22605090000 is an equidigital number, since it uses as much as digits as its factorization.

22605090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 22605090000 in words is "twenty-two billion, six hundred five million, ninety thousand".