211519468160 has 768 divisors, whose sum is σ = 699393502080. Its totient is φ = 60125184000.

The previous prime is 211519468117. The next prime is 211519468177. The reversal of 211519468160 is 61864915112.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452932247 + ... + 452932713.

Almost surely, 2^211519468160 is an apocalyptic number.

211519468160 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 211519468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349696751040).

211519468160 is an abundant number, since it is smaller than the sum of its proper divisors (487874033920).

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

211519468160 is a wasteful number, since it uses less digits than its factorization.

211519468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 211519468160 in words is "two hundred eleven billion, five hundred nineteen million, four hundred sixty-eight thousand, one hundred sixty".