21625149460200 has 384 divisors, whose sum is σ = 79706803438080. Its totient is φ = 4780889164800.

The previous prime is 21625149460183. The next prime is 21625149460207. The reversal of 21625149460200 is 206494152612.

21625149460200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (21625149460207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5603079 + ... + 8639721.

It is an arithmetic number, because the mean of its divisors is an integer number (207569800620).

Almost surely, 2^{21625149460200} is an apocalyptic number.

21625149460200 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 21625149460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39853401719040).

21625149460200 is an abundant number, since it is smaller than the sum of its proper divisors (58081653977880).

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

21625149460200 is a wasteful number, since it uses less digits than its factorization.

21625149460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036769 (or 3036760 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 21625149460200 in words is "twenty-one trillion, six hundred twenty-five billion, one hundred forty-nine million, four hundred sixty thousand, two hundred".