21910912261056 has 448 divisors, whose sum is σ = 79329350876160. Its totient is φ = 5775017472000.

The previous prime is 21910912261033. The next prime is 21910912261067. The reversal of 21910912261056 is 65016221901912.

21910912261056 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 0 + 9 + 1 + 22 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21910912261056² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251081431 + ... + 251168681.

It is an arithmetic number, because the mean of its divisors is an integer number (177074443920).

Almost surely, 2^{21910912261056} is an apocalyptic number.

21910912261056 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 21910912261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39664675438080).

21910912261056 is an abundant number, since it is smaller than the sum of its proper divisors (57418438615104).

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

21910912261056 is a wasteful number, since it uses less digits than its factorization.

21910912261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88889 (or 88873 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 21910912261056 in words is "twenty-one trillion, nine hundred ten billion, nine hundred twelve million, two hundred sixty-one thousand, fifty-six".