210734116320 has 768 divisors, whose sum is σ = 887850270720. Its totient is φ = 40758681600.

The previous prime is 210734116319. The next prime is 210734116321. The reversal of 210734116320 is 23611437012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210734116319) and next prime (210734116321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210734116321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25723425 + ... + 25731615.

It is an arithmetic number, because the mean of its divisors is an integer number (1156055040).

Almost surely, 2^210734116320 is an apocalyptic number.

210734116320 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 210734116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443925135360).

210734116320 is an abundant number, since it is smaller than the sum of its proper divisors (677116154400).

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

210734116320 is a wasteful number, since it uses less digits than its factorization.

210734116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 210734116320 in words is "two hundred ten billion, seven hundred thirty-four million, one hundred sixteen thousand, three hundred twenty".