21526341000 has 256 divisors, whose sum is σ = 69784416000. Its totient is φ = 5519923200.

The previous prime is 21526340993. The next prime is 21526341017. The reversal of 21526341000 is 14362512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9877911 + ... + 9880089.

It is an arithmetic number, because the mean of its divisors is an integer number (272595375).

Almost surely, 2^21526341000 is an apocalyptic number.

21526341000 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 21526341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34892208000).

21526341000 is an abundant number, since it is smaller than the sum of its proper divisors (48258075000).

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

21526341000 is a wasteful number, since it uses less digits than its factorization.

21526341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

It can be divided in two parts, 21526 and 341000, that added together give a triangular number (362526 = T₈₅₁).

The spelling of 21526341000 in words is "twenty-one billion, five hundred twenty-six million, three hundred forty-one thousand".