21726149256 has 96 divisors (see below), whose sum is σ = 67395469440. Its totient is φ = 6193822464.

The previous prime is 21726149231. The next prime is 21726149261. The reversal of 21726149256 is 65294162712.

21726149256 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 614 + 9 + 25 + 6 = 666.

It is a super-2 number, since 2×21726149256² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183165 + ... + 277491.

It is an arithmetic number, because the mean of its divisors is an integer number (702036140).

Almost surely, 2^21726149256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21726149256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33697734720).

21726149256 is an abundant number, since it is smaller than the sum of its proper divisors (45669320184).

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

21726149256 is a wasteful number, since it uses less digits than its factorization.

21726149256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94803 (or 94796 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 21726149256 in words is "twenty-one billion, seven hundred twenty-six million, one hundred forty-nine thousand, two hundred fifty-six".