211363914960 has 240 divisors, whose sum is σ = 774718147008. Its totient is φ = 51216076800.

The previous prime is 211363914889. The next prime is 211363914989. The reversal of 211363914960 is 69419363112.

211363914960 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 639 + 1 + 4 + 9 + 6 + 0 = 666.

211363914960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×211363914960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22195000 + ... + 22204520.

Almost surely, 2^211363914960 is an apocalyptic number.

211363914960 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 211363914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387359073504).

211363914960 is an abundant number, since it is smaller than the sum of its proper divisors (563354232048).

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

211363914960 is a wasteful number, since it uses less digits than its factorization.

211363914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12354 (or 12345 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 211363914960 in words is "two hundred eleven billion, three hundred sixty-three million, nine hundred fourteen thousand, nine hundred sixty".