210070427136000 has 832 divisors, whose sum is σ = 730134188199936. Its totient is φ = 53530853376000.

The previous prime is 210070427135927. The next prime is 210070427136007. The reversal of 210070427136000 is 631724070012.

210070427136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210070427136007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46880253760 + ... + 46880258240.

It is an arithmetic number, because the mean of its divisors is an integer number (877565130048).

Almost surely, 2^{210070427136000} is an apocalyptic number.

210070427136000 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 210070427136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365067094099968).

210070427136000 is an abundant number, since it is smaller than the sum of its proper divisors (520063761063936).

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

210070427136000 is a wasteful number, since it uses less digits than its factorization.

210070427136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 210070427136000 in words is "two hundred ten trillion, seventy billion, four hundred twenty-seven million, one hundred thirty-six thousand".