22152287520 has 576 divisors, whose sum is σ = 85932887040. Its totient is φ = 5148057600.

The previous prime is 22152287497. The next prime is 22152287539. The reversal of 22152287520 is 2578225122.

22152287520 is a `hidden beast` number, since 2 + 2 + 1 + 52 + 2 + 87 + 520 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96734766 + ... + 96734994.

It is an arithmetic number, because the mean of its divisors is an integer number (149189040).

Almost surely, 2^22152287520 is an apocalyptic number.

22152287520 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 22152287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966443520).

22152287520 is an abundant number, since it is smaller than the sum of its proper divisors (63780599520).

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

22152287520 is a wasteful number, since it uses less digits than its factorization.

22152287520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 22152287520 in words is "twenty-two billion, one hundred fifty-two million, two hundred eighty-seven thousand, five hundred twenty".