212027082960 has 320 divisors, whose sum is σ = 822514212864. Its totient is φ = 43893964800.

The previous prime is 212027082931. The next prime is 212027083019. The reversal of 212027082960 is 69280720212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4986912 + ... + 5029248.

Almost surely, 2^212027082960 is an apocalyptic number.

212027082960 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 212027082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411257106432).

212027082960 is an abundant number, since it is smaller than the sum of its proper divisors (610487129904).

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

212027082960 is a wasteful number, since it uses less digits than its factorization.

212027082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42642 (or 42636 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 212027082960 in words is "two hundred twelve billion, twenty-seven million, eighty-two thousand, nine hundred sixty".