22540290586080 has 768 divisors, whose sum is σ = 78565180538880. Its totient is φ = 5406522605568.

The previous prime is 22540290586043. The next prime is 22540290586081. The reversal of 22540290586080 is 8068509204522.

It is a super-3 number, since 3×22540290586080³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22540290586081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23651930884 + ... + 23651931836.

It is an arithmetic number, because the mean of its divisors is an integer number (102298412160).

Almost surely, 2^{22540290586080} is an apocalyptic number.

22540290586080 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 22540290586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39282590269440).

22540290586080 is an abundant number, since it is smaller than the sum of its proper divisors (56024889952800).

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

22540290586080 is a wasteful number, since it uses less digits than its factorization.

22540290586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 22540290586080 in words is "twenty-two trillion, five hundred forty billion, two hundred ninety million, five hundred eighty-six thousand, eighty".