21300527040 has 448 divisors, whose sum is σ = 75524660736. Its totient is φ = 5052284928.

The previous prime is 21300527029. The next prime is 21300527047. The reversal of 21300527040 is 4072500312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21300527040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300527047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 75266739 + ... + 75267021.

It is an arithmetic number, because the mean of its divisors is an integer number (168581832).

Almost surely, 2^21300527040 is an apocalyptic number.

21300527040 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 21300527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37762330368).

21300527040 is an abundant number, since it is smaller than the sum of its proper divisors (54224133696).

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

21300527040 is a wasteful number, since it uses less digits than its factorization.

21300527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 21300527040 in words is "twenty-one billion, three hundred million, five hundred twenty-seven thousand, forty".