211120648950400 has 576 divisors, whose sum is σ = 620509756351680. Its totient is φ = 69524902379520.

The previous prime is 211120648950383. The next prime is 211120648950427. The reversal of 211120648950400 is 4059846021112.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3635782167 + ... + 3635840233.

It is an arithmetic number, because the mean of its divisors is an integer number (1077273882555).

Almost surely, 2^{211120648950400} is an apocalyptic number.

211120648950400 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 211120648950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310254878175840).

211120648950400 is an abundant number, since it is smaller than the sum of its proper divisors (409389107401280).

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

211120648950400 is a wasteful number, since it uses less digits than its factorization.

211120648950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58349 (or 58303 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 211120648950400 in words is "two hundred eleven trillion, one hundred twenty billion, six hundred forty-eight million, nine hundred fifty thousand, four hundred".