210109905990000 has 400 divisors, whose sum is σ = 755199118924800. Its totient is φ = 55912302432000.

The previous prime is 210109905989981. The next prime is 210109905990133. The reversal of 210109905990000 is 99509901012.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128517699 + ... + 130142301.

It is an arithmetic number, because the mean of its divisors is an integer number (1887997797312).

Almost surely, 2^{210109905990000} is an apocalyptic number.

210109905990000 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 210109905990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377599559462400).

210109905990000 is an abundant number, since it is smaller than the sum of its proper divisors (545089212934800).

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

210109905990000 is a wasteful number, since it uses less digits than its factorization.

210109905990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625119 (or 1625092 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The spelling of 210109905990000 in words is "two hundred ten trillion, one hundred nine billion, nine hundred five million, nine hundred ninety thousand".