212788404864 has 448 divisors, whose sum is σ = 769146373440. Its totient is φ = 57217425408.

The previous prime is 212788404841. The next prime is 212788404919. The reversal of 212788404864 is 468404887212.

212788404864 is a `hidden beast` number, since 2 + 12 + 78 + 84 + 0 + 486 + 4 = 666.

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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 212788404864.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11094547 + ... + 11113709.

Almost surely, 2^212788404864 is an apocalyptic number.

212788404864 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 212788404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384573186720).

212788404864 is an abundant number, since it is smaller than the sum of its proper divisors (556357968576).

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

212788404864 is an equidigital number, since it uses as much as digits as its factorization.

212788404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19219 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 212788404864 in words is "two hundred twelve billion, seven hundred eighty-eight million, four hundred four thousand, eight hundred sixty-four".