21726025040280 has 1024 divisors, whose sum is σ = 80702189568000. Its totient is φ = 4616298086400.

The previous prime is 21726025040231. The next prime is 21726025040329. The reversal of 21726025040280 is 8204052062712.

It is an interprime number because it is at equal distance from previous prime (21726025040231) and next prime (21726025040329).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2170643916 + ... + 2170653924.

It is an arithmetic number, because the mean of its divisors is an integer number (78810732000).

Almost surely, 2^{21726025040280} is an apocalyptic number.

21726025040280 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 21726025040280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351094784000).

21726025040280 is an abundant number, since it is smaller than the sum of its proper divisors (58976164527720).

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

21726025040280 is a wasteful number, since it uses less digits than its factorization.

21726025040280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 21726025040280 in words is "twenty-one trillion, seven hundred twenty-six billion, twenty-five million, forty thousand, two hundred eighty".