210700828800 has 3072 divisors, whose sum is σ = 1075302604800. Its totient is φ = 39414988800.

The previous prime is 210700828771. The next prime is 210700828813. The reversal of 210700828800 is 8828007012.

It is a super-4 number, since 4×210700828800⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9160905589 + ... + 9160905611.

It is an arithmetic number, because the mean of its divisors is an integer number (350033400).

Almost surely, 2^210700828800 is an apocalyptic number.

210700828800 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 210700828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537651302400).

210700828800 is an abundant number, since it is smaller than the sum of its proper divisors (864601776000).

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

210700828800 is a wasteful number, since it uses less digits than its factorization.

210700828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 210700828800 in words is "two hundred ten billion, seven hundred million, eight hundred twenty-eight thousand, eight hundred".