21275327700 has 288 divisors, whose sum is σ = 74796462720. Its totient is φ = 5145062400.

The previous prime is 21275327693. The next prime is 21275327747. The reversal of 21275327700 is 772357212.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19393552 + ... + 19394648.

It is an arithmetic number, because the mean of its divisors is an integer number (259709940).

Almost surely, 2^21275327700 is an apocalyptic number.

21275327700 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 21275327700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37398231360).

21275327700 is an abundant number, since it is smaller than the sum of its proper divisors (53521135020).

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

21275327700 is a wasteful number, since it uses less digits than its factorization.

21275327700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 21275327700 in words is "twenty-one billion, two hundred seventy-five million, three hundred twenty-seven thousand, seven hundred".