22072920480 has 144 divisors (see below), whose sum is σ = 81118051560. Its totient is φ = 5433329664.

The previous prime is 22072920469. The next prime is 22072920509. The reversal of 22072920480 is 8402927022.

It is a happy number.

22072920480 is a `hidden beast` number, since 2 + 20 + 72 + 92 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12430466064 + 9642454416 = 111492^2 + 98196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570835 + ... + 608274.

Almost surely, 2^22072920480 is an apocalyptic number.

22072920480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22072920480 is an abundant number, since it is smaller than the sum of its proper divisors (59045131080).

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

22072920480 is a wasteful number, since it uses less digits than its factorization.

22072920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179143 (or 1179132 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22072920480 in words is "twenty-two billion, seventy-two million, nine hundred twenty thousand, four hundred eighty".