212826960864 has 480 divisors, whose sum is σ = 760846141440. Its totient is φ = 56971579392.

The previous prime is 212826960839. The next prime is 212826960991. The reversal of 212826960864 is 468069628212.

212826960864 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 26 + 9 + 608 + 6 + 4 = 666.

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 212826960864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73717629 + ... + 73720515.

It is an arithmetic number, because the mean of its divisors is an integer number (1585096128).

Almost surely, 2^212826960864 is an apocalyptic number.

212826960864 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 212826960864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380423070720).

212826960864 is an abundant number, since it is smaller than the sum of its proper divisors (548019180576).

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

212826960864 is a wasteful number, since it uses less digits than its factorization.

212826960864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 212826960864 in words is "two hundred twelve billion, eight hundred twenty-six million, nine hundred sixty thousand, eight hundred sixty-four".