212885729280 has 1248 divisors, whose sum is σ = 900456943680. Its totient is φ = 48157949952.

The previous prime is 212885729267. The next prime is 212885729333. The reversal of 212885729280 is 82927588212.

212885729280 is a `hidden beast` number, since 21 + 28 + 8 + 572 + 9 + 28 + 0 = 666.

212885729280 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2194698192 + ... + 2194698288.

Almost surely, 2^212885729280 is an apocalyptic number.

212885729280 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 212885729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450228471840).

212885729280 is an abundant number, since it is smaller than the sum of its proper divisors (687571214400).

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

212885729280 is an frugal number, since it uses more digits than its factorization.

212885729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 212885729280 in words is "two hundred twelve billion, eight hundred eighty-five million, seven hundred twenty-nine thousand, two hundred eighty".