22274510899200 has 1152 divisors, whose sum is σ = 85440931430400. Its totient is φ = 5014223585280.

The previous prime is 22274510899177. The next prime is 22274510899217. The reversal of 22274510899200 is 299801547222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21438412281 + ... + 21438413319.

It is an arithmetic number, because the mean of its divisors is an integer number (74167475200).

Almost surely, 2^{22274510899200} is an apocalyptic number.

22274510899200 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 22274510899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42720465715200).

22274510899200 is an abundant number, since it is smaller than the sum of its proper divisors (63166420531200).

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

22274510899200 is a wasteful number, since it uses less digits than its factorization.

22274510899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 22274510899200 in words is "twenty-two trillion, two hundred seventy-four billion, five hundred ten million, eight hundred ninety-nine thousand, two hundred".