211857739806140 has 192 divisors, whose sum is σ = 469140704323200. Its totient is φ = 80247078912000.

The previous prime is 211857739806103. The next prime is 211857739806197. The reversal of 211857739806140 is 41608937758112.

It is a super-2 number, since 2×211857739806140² (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 63 ways as a sum of consecutive naturals, for example, 26452454456 + ... + 26452462464.

It is an arithmetic number, because the mean of its divisors is an integer number (2443441168350).

It is a 3-persistent number, because k⋅211857739806140 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{211857739806140} is an apocalyptic number.

211857739806140 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 211857739806140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234570352161600).

211857739806140 is an abundant number, since it is smaller than the sum of its proper divisors (257282964517060).

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

211857739806140 is a wasteful number, since it uses less digits than its factorization.

211857739806140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 62.

The spelling of 211857739806140 in words is "two hundred eleven trillion, eight hundred fifty-seven billion, seven hundred thirty-nine million, eight hundred six thousand, one hundred forty".