213360254541616 has 240 divisors, whose sum is σ = 514040496326400. Its totient is φ = 84000236516352.

The previous prime is 213360254541607. The next prime is 213360254541653. The reversal of 213360254541616 is 616145452063312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213360254541616.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11005316275 + ... + 11005335661.

It is an arithmetic number, because the mean of its divisors is an integer number (2141835401360).

Almost surely, 2^{213360254541616} is an apocalyptic number.

213360254541616 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 213360254541616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257020248163200).

213360254541616 is an abundant number, since it is smaller than the sum of its proper divisors (300680241784784).

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

213360254541616 is a wasteful number, since it uses less digits than its factorization.

213360254541616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22196 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 213360254541616 in words is "two hundred thirteen trillion, three hundred sixty billion, two hundred fifty-four million, five hundred forty-one thousand, six hundred sixteen".