213915199680 has 2016 divisors, whose sum is σ = 1030178036160. Its totient is φ = 40243101696.

The previous prime is 213915199607. The next prime is 213915199691. The reversal of 213915199680 is 86991519312.

213915199680 is a `hidden beast` number, since 2 + 1 + 39 + 1 + 519 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11258694711 + ... + 11258694729.

It is an arithmetic number, because the mean of its divisors is an integer number (511001010).

Almost surely, 2^213915199680 is an apocalyptic number.

213915199680 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 213915199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515089018080).

213915199680 is an abundant number, since it is smaller than the sum of its proper divisors (816262836480).

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

213915199680 is a wasteful number, since it uses less digits than its factorization.

213915199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

It can be divided in two parts, 213915 and 199680, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 213915199680 in words is "two hundred thirteen billion, nine hundred fifteen million, one hundred ninety-nine thousand, six hundred eighty".