22811778272640 has 1152 divisors, whose sum is σ = 87169683863520. Its totient is φ = 5058071101440.

The previous prime is 22811778272629. The next prime is 22811778272641. The reversal of 22811778272640 is 4627287711822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22811778272641) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 39535144032 + ... + 39535144608.

Almost surely, 2^{22811778272640} is an apocalyptic number.

22811778272640 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 22811778272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43584841931760).

22811778272640 is an abundant number, since it is smaller than the sum of its proper divisors (64357905590880).

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

22811778272640 is an equidigital number, since it uses as much as digits as its factorization.

22811778272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 22811778272640 in words is "twenty-two trillion, eight hundred eleven billion, seven hundred seventy-eight million, two hundred seventy-two thousand, six hundred forty".