21270434526 has 192 divisors, whose sum is σ = 54533606400. Its totient is φ = 5922201600.

The previous prime is 21270434513. The next prime is 21270434573. The reversal of 21270434526 is 62543407212.

21270434526 is a `hidden beast` number, since 2 + 127 + 0 + 4 + 3 + 4 + 526 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36863550 + ... + 36864126.

It is an arithmetic number, because the mean of its divisors is an integer number (284029200).

Almost surely, 2^21270434526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21270434526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266803200).

21270434526 is an abundant number, since it is smaller than the sum of its proper divisors (33263171874).

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

21270434526 is a wasteful number, since it uses less digits than its factorization.

21270434526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 21270434526 in words is "twenty-one billion, two hundred seventy million, four hundred thirty-four thousand, five hundred twenty-six".