210505485120 has 224 divisors, whose sum is σ = 788474781696. Its totient is φ = 46563379200.

The previous prime is 210505485119. The next prime is 210505485143. The reversal of 210505485120 is 21584505012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296926 + ... + 713565.

It is an arithmetic number, because the mean of its divisors is an integer number (3519976704).

Almost surely, 2^210505485120 is an apocalyptic number.

210505485120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210505485120 is an abundant number, since it is smaller than the sum of its proper divisors (577969296576).

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

210505485120 is a wasteful number, since it uses less digits than its factorization.

210505485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010549 (or 1010539 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 210505485120 in words is "two hundred ten billion, five hundred five million, four hundred eighty-five thousand, one hundred twenty".