21726424375700 has 144 divisors (see below), whose sum is σ = 51935900889600. Its totient is φ = 7823236041600.

The previous prime is 21726424375631. The next prime is 21726424375703. The reversal of 21726424375700 is 757342462712.

It is a happy number.

It is a super-2 number, since 2×21726424375700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21726424375703) 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, 275260841 + ... + 275339759.

It is an arithmetic number, because the mean of its divisors is an integer number (360665978400).

Almost surely, 2^{21726424375700} is an apocalyptic number.

21726424375700 is a gapful number since it is divisible by the number (20) 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 21726424375700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25967950444800).

21726424375700 is an abundant number, since it is smaller than the sum of its proper divisors (30209476513900).

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

21726424375700 is a wasteful number, since it uses less digits than its factorization.

21726424375700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81390 (or 81383 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 21726424375700 in words is "twenty-one trillion, seven hundred twenty-six billion, four hundred twenty-four million, three hundred seventy-five thousand, seven hundred".