22755420576 has 288 divisors, whose sum is σ = 77413190400. Its totient is φ = 6199345152.

The previous prime is 22755420557. The next prime is 22755420683. The reversal of 22755420576 is 67502455722.

22755420576 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 54 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20818686 + ... + 20819778.

It is an arithmetic number, because the mean of its divisors is an integer number (268795800).

Almost surely, 2^22755420576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22755420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38706595200).

22755420576 is an abundant number, since it is smaller than the sum of its proper divisors (54657769824).

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

22755420576 is a wasteful number, since it uses less digits than its factorization.

22755420576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 22755420576 in words is "twenty-two billion, seven hundred fifty-five million, four hundred twenty thousand, five hundred seventy-six".