211234751057000 has 256 divisors, whose sum is σ = 561562541280000. Its totient is φ = 73666164096000.

The previous prime is 211234751056993. The next prime is 211234751057023. The reversal of 211234751057000 is 750157432112.

It is a super-2 number, since 2×211234751057000² (a number of 29 digits) contains 22 as substring.

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, 45308927 + ... + 49753073.

It is an arithmetic number, because the mean of its divisors is an integer number (2193603676875).

Almost surely, 2^{211234751057000} is an apocalyptic number.

211234751057000 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 211234751057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280781270640000).

211234751057000 is an abundant number, since it is smaller than the sum of its proper divisors (350327790223000).

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

211234751057000 is a wasteful number, since it uses less digits than its factorization.

211234751057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444357 (or 4444343 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 211234751057000 in words is "two hundred eleven trillion, two hundred thirty-four billion, seven hundred fifty-one million, fifty-seven thousand".