210769052032 has 192 divisors, whose sum is σ = 528243760800. Its totient is φ = 81996963840.

The previous prime is 210769052017. The next prime is 210769052033. The reversal of 210769052032 is 230250967012.

It is a junction number, because it is equal to n+sod(n) for n = 210769051982 and 210769052000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210769052033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120232468 + ... + 120234220.

Almost surely, 2^210769052032 is an apocalyptic number.

210769052032 is a gapful number since it is divisible by the number (22) 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 210769052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264121880400).

210769052032 is an abundant number, since it is smaller than the sum of its proper divisors (317474708768).

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

210769052032 is a wasteful number, since it uses less digits than its factorization.

210769052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 210769052032 in words is "two hundred ten billion, seven hundred sixty-nine million, fifty-two thousand, thirty-two".