211019378064 has 480 divisors, whose sum is σ = 693180633600. Its totient is φ = 54513930240.

The previous prime is 211019378051. The next prime is 211019378077. The reversal of 211019378064 is 460873910112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211019378051) and next prime (211019378077).

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, 90216607 + ... + 90218945.

It is an arithmetic number, because the mean of its divisors is an integer number (1444126320).

Almost surely, 2^211019378064 is an apocalyptic number.

211019378064 is a gapful number since it is divisible by the number (24) 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 211019378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346590316800).

211019378064 is an abundant number, since it is smaller than the sum of its proper divisors (482161255536).

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

211019378064 is a wasteful number, since it uses less digits than its factorization.

211019378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 211019378064 in words is "two hundred eleven billion, nineteen million, three hundred seventy-eight thousand, sixty-four".