211096974424672 has 192 divisors, whose sum is σ = 483872971760640. Its totient is φ = 88784373528576.

The previous prime is 211096974424643. The next prime is 211096974424703. The reversal of 211096974424672 is 276424479690112.

It is a super-2 number, since 2×211096974424672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15861213154 + ... + 15861226462.

It is an arithmetic number, because the mean of its divisors is an integer number (2520171727920).

Almost surely, 2^{211096974424672} 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 211096974424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241936485880320).

211096974424672 is an abundant number, since it is smaller than the sum of its proper divisors (272775997335968).

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

211096974424672 is a wasteful number, since it uses less digits than its factorization.

211096974424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17293 (or 17285 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 211096974424672 in words is "two hundred eleven trillion, ninety-six billion, nine hundred seventy-four million, four hundred twenty-four thousand, six hundred seventy-two".