22005251520 has 448 divisors, whose sum is σ = 85766916096. Its totient is φ = 4665507840.

The previous prime is 22005251497. The next prime is 22005251627. The reversal of 22005251520 is 2515250022.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 8109684 + ... + 8112396.

Almost surely, 2^22005251520 is an apocalyptic number.

22005251520 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 22005251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42883458048).

22005251520 is an abundant number, since it is smaller than the sum of its proper divisors (63761664576).

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

22005251520 is a wasteful number, since it uses less digits than its factorization.

22005251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 22005251520 in words is "twenty-two billion, five million, two hundred fifty-one thousand, five hundred twenty".