211452991680 has 448 divisors, whose sum is σ = 775845430272. Its totient is φ = 47795650560.

The previous prime is 211452991663. The next prime is 211452991727. The reversal of 211452991680 is 86199254112.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 279329862 + ... + 279330618.

Almost surely, 2^211452991680 is an apocalyptic number.

211452991680 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 211452991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387922715136).

211452991680 is an abundant number, since it is smaller than the sum of its proper divisors (564392438592).

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

211452991680 is a wasteful number, since it uses less digits than its factorization.

211452991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 211452991680 in words is "two hundred eleven billion, four hundred fifty-two million, nine hundred ninety-one thousand, six hundred eighty".