21910097890944 has 256 divisors, whose sum is σ = 67026796185600. Its totient is φ = 7041285504000.

The previous prime is 21910097890921. The next prime is 21910097890969. The reversal of 21910097890944 is 44909879001912.

It is a super-2 number, since 2×21910097890944² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9876319 + ... + 11889569.

It is an arithmetic number, because the mean of its divisors is an integer number (261823422600).

Almost surely, 2^{21910097890944} is an apocalyptic number.

21910097890944 is a gapful number since it is divisible by the number (24) 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 21910097890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513398092800).

21910097890944 is an abundant number, since it is smaller than the sum of its proper divisors (45116698294656).

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

21910097890944 is a wasteful number, since it uses less digits than its factorization.

21910097890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013388 (or 2013370 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 21910097890944 in words is "twenty-one trillion, nine hundred ten billion, ninety-seven million, eight hundred ninety thousand, nine hundred forty-four".