213586465950 has 864 divisors, whose sum is σ = 728802416160. Its totient is φ = 45853516800.

The previous prime is 213586465891. The next prime is 213586466003. The reversal of 213586465950 is 59564685312.

213586465950 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 8 + 6 + 46 + 595 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1360423272 + ... + 1360423428.

It is an arithmetic number, because the mean of its divisors is an integer number (843521315).

Almost surely, 2^213586465950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213586465950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364401208080).

213586465950 is an abundant number, since it is smaller than the sum of its proper divisors (515215950210).

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

213586465950 is a wasteful number, since it uses less digits than its factorization.

213586465950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 213586465950 in words is "two hundred thirteen billion, five hundred eighty-six million, four hundred sixty-five thousand, nine hundred fifty".