211972092148096 has 256 divisors, whose sum is σ = 493907304960000. Its totient is φ = 88740290783232.

The previous prime is 211972092148081. The next prime is 211972092148213. The reversal of 211972092148096 is 690841290279112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8279176831 + ... + 8279202433.

It is an arithmetic number, because the mean of its divisors is an integer number (1929325410000).

Almost surely, 2^{211972092148096} 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 211972092148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246953652480000).

211972092148096 is an abundant number, since it is smaller than the sum of its proper divisors (281935212811904).

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

211972092148096 is a wasteful number, since it uses less digits than its factorization.

211972092148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26669 (or 26657 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 211972092148096 in words is "two hundred eleven trillion, nine hundred seventy-two billion, ninety-two million, one hundred forty-eight thousand, ninety-six".