22752887040 has 864 divisors, whose sum is σ = 93371031936. Its totient is φ = 5255331840.

The previous prime is 22752887039. The next prime is 22752887051. The reversal of 22752887040 is 4078825722.

22752887040 is a `hidden beast` number, since 2 + 2 + 7 + 528 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 68739675 + ... + 68740005.

It is an arithmetic number, because the mean of its divisors is an integer number (108068324).

Almost surely, 2^22752887040 is an apocalyptic number.

22752887040 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 22752887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46685515968).

22752887040 is an abundant number, since it is smaller than the sum of its proper divisors (70618144896).

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

22752887040 is a wasteful number, since it uses less digits than its factorization.

22752887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 22752887040 in words is "twenty-two billion, seven hundred fifty-two million, eight hundred eighty-seven thousand, forty".