21375055104200 has 192 divisors, whose sum is σ = 60142441887360. Its totient is φ = 6896935710720.

The previous prime is 21375055104191. The next prime is 21375055104209. The reversal of 21375055104200 is 240155057312.

It is an interprime number because it is at equal distance from previous prime (21375055104191) and next prime (21375055104209).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (21375055104209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372274694 + ... + 372332106.

It is an arithmetic number, because the mean of its divisors is an integer number (313241884830).

Almost surely, 2^{21375055104200} is an apocalyptic number.

21375055104200 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 21375055104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30071220943680).

21375055104200 is an abundant number, since it is smaller than the sum of its proper divisors (38767386783160).

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

21375055104200 is a wasteful number, since it uses less digits than its factorization.

21375055104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73096 (or 73087 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 21375055104200 in words is "twenty-one trillion, three hundred seventy-five billion, fifty-five million, one hundred four thousand, two hundred".