212649549840 has 360 divisors, whose sum is σ = 883784416320. Its totient is φ = 44866538496.

The previous prime is 212649549839. The next prime is 212649549851. The reversal of 212649549840 is 48945946212.

212649549840 is a `hidden beast` number, since 2 + 1 + 2 + 64 + 95 + 498 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 726931 + ... + 976589.

It is an arithmetic number, because the mean of its divisors is an integer number (2454956712).

Almost surely, 2^212649549840 is an apocalyptic number.

212649549840 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 212649549840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441892208160).

212649549840 is an abundant number, since it is smaller than the sum of its proper divisors (671134866480).

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

212649549840 is a wasteful number, since it uses less digits than its factorization.

212649549840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249711 (or 249689 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 212649549840 in words is "two hundred twelve billion, six hundred forty-nine million, five hundred forty-nine thousand, eight hundred forty".