22073376400800 has 288 divisors, whose sum is σ = 73388052864000. Its totient is φ = 5760169282560.

The previous prime is 22073376400799. The next prime is 22073376400807. The reversal of 22073376400800 is 800467337022.

It is not an unprimeable number, because it can be changed into a prime (22073376400807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1477559731 + ... + 1477574669.

It is an arithmetic number, because the mean of its divisors is an integer number (254819628000).

Almost surely, 2^{22073376400800} is an apocalyptic number.

22073376400800 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 22073376400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36694026432000).

22073376400800 is an abundant number, since it is smaller than the sum of its proper divisors (51314676463200).

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

22073376400800 is a wasteful number, since it uses less digits than its factorization.

22073376400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28108 (or 28095 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 22073376400800 in words is "twenty-two trillion, seventy-three billion, three hundred seventy-six million, four hundred thousand, eight hundred".