213379425089016 has 256 divisors, whose sum is σ = 563318074368000. Its totient is φ = 67260202813440.

The previous prime is 213379425088993. The next prime is 213379425089053. The reversal of 213379425089016 is 610980524973312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21709164390 + ... + 21709174218.

It is an arithmetic number, because the mean of its divisors is an integer number (2200461228000).

It is a 1-persistent number, because it is pandigital, but 2⋅213379425089016 = 426758850178032 is not.

Almost surely, 2^{213379425089016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213379425089016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281659037184000).

213379425089016 is an abundant number, since it is smaller than the sum of its proper divisors (349938649278984).

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

213379425089016 is a wasteful number, since it uses less digits than its factorization.

213379425089016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094 (or 12090 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 213379425089016 in words is "two hundred thirteen trillion, three hundred seventy-nine billion, four hundred twenty-five million, eighty-nine thousand, sixteen".