213927109139016 has 768 divisors, whose sum is σ = 756839412806400. Its totient is φ = 55483100209152.

The previous prime is 213927109138979. The next prime is 213927109139047. The reversal of 213927109139016 is 610931901729312.

213927109139016 is a `hidden beast` number, since 2 + 1 + 3 + 92 + 71 + 0 + 91 + 390 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5466648186 + ... + 5466687318.

It is an arithmetic number, because the mean of its divisors is an integer number (985467985425).

Almost surely, 2^{213927109139016} is an apocalyptic number.

213927109139016 is a gapful number since it is divisible by the number (26) 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 213927109139016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378419706403200).

213927109139016 is an abundant number, since it is smaller than the sum of its proper divisors (542912303667384).

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

213927109139016 is a wasteful number, since it uses less digits than its factorization.

213927109139016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39835 (or 39818 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 213927109139016 in words is "two hundred thirteen trillion, nine hundred twenty-seven billion, one hundred nine million, one hundred thirty-nine thousand, sixteen".