210680870400 has 3600 divisors, whose sum is σ = 1102371787440. Its totient is φ = 39016857600.

The previous prime is 210680870381. The next prime is 210680870431. The reversal of 210680870400 is 4078086012.

210680870400 is a `hidden beast` number, since 2 + 106 + 80 + 8 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 359 ways as a sum of consecutive naturals, for example, 7264857586 + ... + 7264857614.

Almost surely, 2^210680870400 is an apocalyptic number.

210680870400 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 210680870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551185893720).

210680870400 is an abundant number, since it is smaller than the sum of its proper divisors (891690917040).

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

210680870400 is a wasteful number, since it uses less digits than its factorization.

210680870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 210680870400 in words is "two hundred ten billion, six hundred eighty million, eight hundred seventy thousand, four hundred".