22581003070080 has 2304 divisors, whose sum is σ = 105741536060160. Its totient is φ = 4483275816960.

The previous prime is 22581003070061. The next prime is 22581003070103. The reversal of 22581003070080 is 8007030018522.

22581003070080 is a `hidden beast` number, since 2 + 2 + 581 + 0 + 0 + 3 + 0 + 70 + 0 + 8 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4090017720 + ... + 4090023240.

It is an arithmetic number, because the mean of its divisors is an integer number (45894763915).

Almost surely, 2^{22581003070080} is an apocalyptic number.

22581003070080 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 22581003070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52870768030080).

22581003070080 is an abundant number, since it is smaller than the sum of its proper divisors (83160532990080).

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

22581003070080 is a wasteful number, since it uses less digits than its factorization.

22581003070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22581003070080 in words is "twenty-two trillion, five hundred eighty-one billion, three million, seventy thousand, eighty".