212780856960 has 320 divisors, whose sum is σ = 868434462720. Its totient is φ = 48635541504.

The previous prime is 212780856943. The next prime is 212780856973. The reversal of 212780856960 is 69658087212.

212780856960 is a `hidden beast` number, since 2 + 1 + 2 + 78 + 0 + 8 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 212780856897 and 212780856906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69697 + ... + 656063.

It is an arithmetic number, because the mean of its divisors is an integer number (2713857696).

Almost surely, 2^212780856960 is an apocalyptic number.

212780856960 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 212780856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434217231360).

212780856960 is an abundant number, since it is smaller than the sum of its proper divisors (655653605760).

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

212780856960 is an equidigital number, since it uses as much as digits as its factorization.

212780856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586405 (or 586384 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 212780856960 in words is "two hundred twelve billion, seven hundred eighty million, eight hundred fifty-six thousand, nine hundred sixty".