210780106416000 has 640 divisors, whose sum is σ = 854010788922720. Its totient is φ = 51098204160000.

The previous prime is 210780106415953. The next prime is 210780106416007. The reversal of 210780106416000 is 614601087012.

It is a happy number.

210780106416000 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 8 + 0 + 1 + 0 + 6 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210780106416007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6863320 + ... + 21648680.

Almost surely, 2^{210780106416000} is an apocalyptic number.

210780106416000 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 210780106416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427005394461360).

210780106416000 is an abundant number, since it is smaller than the sum of its proper divisors (643230682506720).

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

210780106416000 is a wasteful number, since it uses less digits than its factorization.

210780106416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14785413 (or 14785382 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 210780106416000 in words is "two hundred ten trillion, seven hundred eighty billion, one hundred six million, four hundred sixteen thousand".