22728429342720 has 520 divisors, whose sum is σ = 81812423041536. Its totient is φ = 6060806995968.

The previous prime is 22728429342709. The next prime is 22728429342763. The reversal of 22728429342720 is 2724392482722.

22728429342720 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 84 + 293 + 4 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403079649 + ... + 403136031.

Almost surely, 2^{22728429342720} is an apocalyptic number.

22728429342720 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 22728429342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40906211520768).

22728429342720 is an abundant number, since it is smaller than the sum of its proper divisors (59083993698816).

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

22728429342720 is an frugal number, since it uses more digits than its factorization.

22728429342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56439 (or 56393 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 22728429342720 in words is "twenty-two trillion, seven hundred twenty-eight billion, four hundred twenty-nine million, three hundred forty-two thousand, seven hundred twenty".