212188370688 has 864 divisors, whose sum is σ = 781395854400. Its totient is φ = 56432001024.

The previous prime is 212188370663. The next prime is 212188370729. The reversal of 212188370688 is 886073881212.

212188370688 is a `hidden beast` number, since 2 + 12 + 188 + 370 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 788804218 + ... + 788804486.

It is an arithmetic number, because the mean of its divisors is an integer number (904393350).

Almost surely, 2^212188370688 is an apocalyptic number.

212188370688 is a gapful number since it is divisible by the number (28) 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 212188370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390697927200).

212188370688 is an abundant number, since it is smaller than the sum of its proper divisors (569207483712).

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

212188370688 is a wasteful number, since it uses less digits than its factorization.

212188370688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 212188370688 in words is "two hundred twelve billion, one hundred eighty-eight million, three hundred seventy thousand, six hundred eighty-eight".