211299753728 has 216 divisors, whose sum is σ = 509835279744. Its totient is φ = 87052492800.

The previous prime is 211299753713. The next prime is 211299753737. The reversal of 211299753728 is 827357992112.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61049918 + ... + 61053378.

Almost surely, 2^211299753728 is an apocalyptic number.

211299753728 is a gapful number since it is divisible by the number (28) 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 211299753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254917639872).

211299753728 is an abundant number, since it is smaller than the sum of its proper divisors (298535526016).

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

211299753728 is a wasteful number, since it uses less digits than its factorization.

211299753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3658 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 56.

The spelling of 211299753728 in words is "two hundred eleven billion, two hundred ninety-nine million, seven hundred fifty-three thousand, seven hundred twenty-eight".