21875097600 has 768 divisors, whose sum is σ = 85814150400. Its totient is φ = 5449973760.

The previous prime is 21875097581. The next prime is 21875097611. The reversal of 21875097600 is 679057812.

21875097600 is a `hidden beast` number, since 2 + 1 + 87 + 509 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 508723179 + ... + 508723221.

It is an arithmetic number, because the mean of its divisors is an integer number (111737175).

Almost surely, 2^21875097600 is an apocalyptic number.

21875097600 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 21875097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907075200).

21875097600 is an abundant number, since it is smaller than the sum of its proper divisors (63939052800).

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

21875097600 is an equidigital number, since it uses as much as digits as its factorization.

21875097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 21875097600 in words is "twenty-one billion, eight hundred seventy-five million, ninety-seven thousand, six hundred".