210053088000 has 1728 divisors, whose sum is σ = 952673799168. Its totient is φ = 44988825600.

The previous prime is 210053087963. The next prime is 210053088013. The reversal of 210053088000 is 880350012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 925343887 + ... + 925344113.

It is an arithmetic number, because the mean of its divisors is an integer number (551315856).

Almost surely, 2^210053088000 is an apocalyptic number.

210053088000 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 210053088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476336899584).

210053088000 is an abundant number, since it is smaller than the sum of its proper divisors (742620711168).

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

210053088000 is an equidigital number, since it uses as much as digits as its factorization.

210053088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 210053088000 in words is "two hundred ten billion, fifty-three million, eighty-eight thousand".