22590540800000 has 336 divisors, whose sum is σ = 57849278127984. Its totient is φ = 8815411200000.

The previous prime is 22590540799973. The next prime is 22590540800059. The reversal of 22590540800000 is 804509522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049589239 + ... + 1049610761.

It is an arithmetic number, because the mean of its divisors is an integer number (172170470619).

Almost surely, 2^{22590540800000} is an apocalyptic number.

22590540800000 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 22590540800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28924639063992).

22590540800000 is an abundant number, since it is smaller than the sum of its proper divisors (35258737327984).

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

22590540800000 is an frugal number, since it uses more digits than its factorization.

22590540800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21571 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 22590540800000 in words is "twenty-two trillion, five hundred ninety billion, five hundred forty million, eight hundred thousand".