21742094177856 has 336 divisors, whose sum is σ = 69721994160000. Its totient is φ = 6678082547712.

The previous prime is 21742094177851. The next prime is 21742094177879. The reversal of 21742094177856 is 65877149024712.

21742094177856 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 209 + 417 + 7 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21742094177793 and 21742094177802.

It is not an unprimeable number, because it can be changed into a prime (21742094177851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114943645 + ... + 115132643.

It is an arithmetic number, because the mean of its divisors is an integer number (207505935000).

Almost surely, 2^{21742094177856} is an apocalyptic number.

21742094177856 is a gapful number since it is divisible by the number (26) 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 21742094177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860997080000).

21742094177856 is an abundant number, since it is smaller than the sum of its proper divisors (47979899982144).

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

21742094177856 is a wasteful number, since it uses less digits than its factorization.

21742094177856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189608 (or 189586 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 21742094177856 in words is "twenty-one trillion, seven hundred forty-two billion, ninety-four million, one hundred seventy-seven thousand, eight hundred fifty-six".