210648972000 has 384 divisors, whose sum is σ = 769150287360. Its totient is φ = 50085273600.

The previous prime is 210648971993. The next prime is 210648972007. The reversal of 210648972000 is 279846012.

It is an interprime number because it is at equal distance from previous prime (210648971993) and next prime (210648972007).

It is a self number, because there is not a number n which added to its sum of digits gives 210648972000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210648972007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3848827 + ... + 3903173.

It is an arithmetic number, because the mean of its divisors is an integer number (2002995540).

Almost surely, 2^210648972000 is an apocalyptic number.

210648972000 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 210648972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384575143680).

210648972000 is an abundant number, since it is smaller than the sum of its proper divisors (558501315360).

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

210648972000 is a wasteful number, since it uses less digits than its factorization.

210648972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54411 (or 54393 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 210648972000 in words is "two hundred ten billion, six hundred forty-eight million, nine hundred seventy-two thousand".