21875410800 has 300 divisors, whose sum is σ = 79996676760. Its totient is φ = 5722928640.

The previous prime is 21875410789. The next prime is 21875410801. The reversal of 21875410800 is 801457812.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21875410801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1710831 + ... + 1723569.

Almost surely, 2^21875410800 is an apocalyptic number.

21875410800 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 21875410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39998338380).

21875410800 is an abundant number, since it is smaller than the sum of its proper divisors (58121265960).

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

21875410800 is a wasteful number, since it uses less digits than its factorization.

21875410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 21875410800 in words is "twenty-one billion, eight hundred seventy-five million, four hundred ten thousand, eight hundred".