210011253440000 has 800 divisors, whose sum is σ = 560999732245920. Its totient is φ = 78377435136000.

The previous prime is 210011253439973. The next prime is 210011253440003. The reversal of 210011253440000 is 44352110012.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011253440003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32953276814 + ... + 32953283186.

Almost surely, 2^{210011253440000} is an apocalyptic number.

210011253440000 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 210011253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280499866122960).

210011253440000 is an abundant number, since it is smaller than the sum of its proper divisors (350988478805920).

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

210011253440000 is an frugal number, since it uses more digits than its factorization.

210011253440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 210011253440000 in words is "two hundred ten trillion, eleven billion, two hundred fifty-three million, four hundred forty thousand".