212715874560 has 288 divisors, whose sum is σ = 778298556672. Its totient is φ = 48502702080.

The previous prime is 212715874519. The next prime is 212715874589. The reversal of 212715874560 is 65478517212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11307082 + ... + 11325878.

It is an arithmetic number, because the mean of its divisors is an integer number (2702425544).

Almost surely, 2^212715874560 is an apocalyptic number.

212715874560 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 212715874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389149278336).

212715874560 is an abundant number, since it is smaller than the sum of its proper divisors (565582682112).

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

212715874560 is a wasteful number, since it uses less digits than its factorization.

212715874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19249 (or 19235 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 212715874560 in words is "two hundred twelve billion, seven hundred fifteen million, eight hundred seventy-four thousand, five hundred sixty".