213818552640 has 1344 divisors, whose sum is σ = 994188349440. Its totient is φ = 40812871680.

The previous prime is 213818552639. The next prime is 213818552659. The reversal of 213818552640 is 46255818312.

213818552640 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 1 + 85 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 162105901 + ... + 162107219.

Almost surely, 2^213818552640 is an apocalyptic number.

213818552640 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 213818552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497094174720).

213818552640 is an abundant number, since it is smaller than the sum of its proper divisors (780369796800).

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

213818552640 is a wasteful number, since it uses less digits than its factorization.

213818552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 213818552640 in words is "two hundred thirteen billion, eight hundred eighteen million, five hundred fifty-two thousand, six hundred forty".