212182545960 has 432 divisors, whose sum is σ = 881743835700. Its totient is φ = 44089436160.

The previous prime is 212182545941. The next prime is 212182545997. The reversal of 212182545960 is 69545281212.

212182545960 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 8 + 2 + 54 + 596 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212165256996 + 17288964 = 460614^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2084736 + ... + 2184144.

Almost surely, 2^212182545960 is an apocalyptic number.

212182545960 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 212182545960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440871917850).

212182545960 is an abundant number, since it is smaller than the sum of its proper divisors (669561289740).

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

212182545960 is a wasteful number, since it uses less digits than its factorization.

212182545960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99462 (or 99437 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 212182545960 in words is "two hundred twelve billion, one hundred eighty-two million, five hundred forty-five thousand, nine hundred sixty".