213919920844560 has 640 divisors, whose sum is σ = 871236487296000. Its totient is φ = 47204430594048.

The previous prime is 213919920844547. The next prime is 213919920844633. The reversal of 213919920844560 is 65448029919312.

213919920844560 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 1 + 9 + 9 + 20 + 8 + 44 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4643041684 + ... + 4643087756.

It is an arithmetic number, because the mean of its divisors is an integer number (1361307011400).

Almost surely, 2^{213919920844560} is an apocalyptic number.

213919920844560 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 213919920844560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435618243648000).

213919920844560 is an abundant number, since it is smaller than the sum of its proper divisors (657316566451440).

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

213919920844560 is a wasteful number, since it uses less digits than its factorization.

213919920844560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56720 (or 56708 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 213919920844560 in words is "two hundred thirteen trillion, nine hundred nineteen billion, nine hundred twenty million, eight hundred forty-four thousand, five hundred sixty".