21726685104480 has 288 divisors, whose sum is σ = 75736737707904. Its totient is φ = 5669242994688.

The previous prime is 21726685104427. The next prime is 21726685104491. The reversal of 21726685104480 is 8440158662712.

21726685104480 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 6 + 6 + 8 + 510 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324356752 + ... + 324423728.

It is an arithmetic number, because the mean of its divisors is an integer number (262974783708).

Almost surely, 2^{21726685104480} is an apocalyptic number.

21726685104480 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 21726685104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37868368853952).

21726685104480 is an abundant number, since it is smaller than the sum of its proper divisors (54010052603424).

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

21726685104480 is a wasteful number, since it uses less digits than its factorization.

21726685104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71838 (or 71827 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 21726685104480 in words is "twenty-one trillion, seven hundred twenty-six billion, six hundred eighty-five million, one hundred four thousand, four hundred eighty".