22852730880 has 816 divisors, whose sum is σ = 96183045504. Its totient is φ = 5096079360.

The previous prime is 22852730869. The next prime is 22852730891. The reversal of 22852730880 is 8803725822.

It is an interprime number because it is at equal distance from previous prime (22852730869) and next prime (22852730891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557383660 + ... + 557383700.

Almost surely, 2^22852730880 is an apocalyptic number.

22852730880 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 22852730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48091522752).

22852730880 is an abundant number, since it is smaller than the sum of its proper divisors (73330314624).

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

22852730880 is an frugal number, since it uses more digits than its factorization.

22852730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22852730880 in words is "twenty-two billion, eight hundred fifty-two million, seven hundred thirty thousand, eight hundred eighty".