211072942080 has 1728 divisors, whose sum is σ = 995315171760. Its totient is φ = 40485519360.

The previous prime is 211072942079. The next prime is 211072942103. The reversal of 211072942080 is 80249270112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16236380154 + ... + 16236380166.

Almost surely, 2^211072942080 is an apocalyptic number.

211072942080 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 211072942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497657585880).

211072942080 is an abundant number, since it is smaller than the sum of its proper divisors (784242229680).

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

211072942080 is a wasteful number, since it uses less digits than its factorization.

211072942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

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

The spelling of 211072942080 in words is "two hundred eleven billion, seventy-two million, nine hundred forty-two thousand, eighty".