21082521600 has 1080 divisors, whose sum is σ = 92963911040. Its totient is φ = 4459069440.

The previous prime is 21082521599. The next prime is 21082521601. The reversal of 21082521600 is 612528012.

It is a happy number.

21082521600 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 2 + 52 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (21082521599) and next prime (21082521601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21082521601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 490291179 + ... + 490291221.

Almost surely, 2^21082521600 is an apocalyptic number.

21082521600 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 21082521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46481955520).

21082521600 is an abundant number, since it is smaller than the sum of its proper divisors (71881389440).

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

21082521600 is a wasteful number, since it uses less digits than its factorization.

21082521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21082521600 in words is "twenty-one billion, eighty-two million, five hundred twenty-one thousand, six hundred".