211145307135200 has 72 divisors (see below), whose sum is σ = 515632451895288. Its totient is φ = 84429617646080.

The previous prime is 211145307135193. The next prime is 211145307135221. The reversal of 211145307135200 is 2531703541112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42167507 + ... + 46908306.

It is an arithmetic number, because the mean of its divisors is an integer number (7161561831879).

Almost surely, 2^{211145307135200} is an apocalyptic number.

211145307135200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211145307135200 is an abundant number, since it is smaller than the sum of its proper divisors (304487144760088).

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

211145307135200 is a wasteful number, since it uses less digits than its factorization.

211145307135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89078796 (or 89078783 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 211145307135200 in words is "two hundred eleven trillion, one hundred forty-five billion, three hundred seven million, one hundred thirty-five thousand, two hundred".