22075354800072 has 256 divisors, whose sum is σ = 70409564928000. Its totient is φ = 6277693660416.

The previous prime is 22075354800029. The next prime is 22075354800119. The reversal of 22075354800072 is 27000845357022.

22075354800072 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 535 + 48 + 0 + 0 + 0 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292200079 + ... + 292275617.

It is an arithmetic number, because the mean of its divisors is an integer number (275037363000).

Almost surely, 2^{22075354800072} 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 22075354800072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35204782464000).

22075354800072 is an abundant number, since it is smaller than the sum of its proper divisors (48334210127928).

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

22075354800072 is a wasteful number, since it uses less digits than its factorization.

22075354800072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76465 (or 76455 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 22075354800072 in words is "twenty-two trillion, seventy-five billion, three hundred fifty-four million, eight hundred thousand, seventy-two".