22073451457200 has 1920 divisors, whose sum is σ = 88417914224640. Its totient is φ = 4660830720000.

The previous prime is 22073451457147. The next prime is 22073451457217. The reversal of 22073451457200 is 275415437022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38657532915 + ... + 38657533485.

It is an arithmetic number, because the mean of its divisors is an integer number (46050996992).

Almost surely, 2^{22073451457200} is an apocalyptic number.

22073451457200 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 22073451457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44208957112320).

22073451457200 is an abundant number, since it is smaller than the sum of its proper divisors (66344462767440).

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

22073451457200 is a wasteful number, since it uses less digits than its factorization.

22073451457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 22073451457200 in words is "twenty-two trillion, seventy-three billion, four hundred fifty-one million, four hundred fifty-seven thousand, two hundred".