211430725632 has 1080 divisors, whose sum is σ = 794764070100. Its totient is φ = 55682629632.

The previous prime is 211430725567. The next prime is 211430725637. The reversal of 211430725632 is 236527034112.

211430725632 is a `hidden beast` number, since 2 + 1 + 14 + 3 + 0 + 7 + 2 + 5 + 632 = 666.

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 (211430725637) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5714343918 + ... + 5714343954.

Almost surely, 2^211430725632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211430725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397382035050).

211430725632 is an abundant number, since it is smaller than the sum of its proper divisors (583333344468).

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

211430725632 is an equidigital number, since it uses as much as digits as its factorization.

211430725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 211430725632 its reverse (236527034112), we get a palindrome (447957759744).

The spelling of 211430725632 in words is "two hundred eleven billion, four hundred thirty million, seven hundred twenty-five thousand, six hundred thirty-two".