22979349307200 has 672 divisors, whose sum is σ = 88668741087360. Its totient is φ = 5136600268800.

The previous prime is 22979349307183. The next prime is 22979349307207. The reversal of 22979349307200 is 270394397922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22979349307207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643138936 + ... + 643174664.

It is an arithmetic number, because the mean of its divisors is an integer number (131947531380).

Almost surely, 2^{22979349307200} is an apocalyptic number.

22979349307200 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 22979349307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44334370543680).

22979349307200 is an abundant number, since it is smaller than the sum of its proper divisors (65689391780160).

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

22979349307200 is a wasteful number, since it uses less digits than its factorization.

22979349307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36715 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 57.

The spelling of 22979349307200 in words is "twenty-two trillion, nine hundred seventy-nine billion, three hundred forty-nine million, three hundred seven thousand, two hundred".