21734055168 has 144 divisors (see below), whose sum is σ = 66288391680. Its totient is φ = 6192764928.

The previous prime is 21734055139. The next prime is 21734055169. The reversal of 21734055168 is 86155043712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21734055169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032171 + ... + 2042837.

Almost surely, 2^21734055168 is an apocalyptic number.

21734055168 is a gapful number since it is divisible by the number (28) 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 21734055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33144195840).

21734055168 is an abundant number, since it is smaller than the sum of its proper divisors (44554336512).

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

21734055168 is a wasteful number, since it uses less digits than its factorization.

21734055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 21734055168 in words is "twenty-one billion, seven hundred thirty-four million, fifty-five thousand, one hundred sixty-eight".