213516600000 has 1008 divisors, whose sum is σ = 826550409888. Its totient is φ = 48435200000.

The previous prime is 213516599981. The next prime is 213516600023. The reversal of 213516600000 is 6615312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1234199914 + ... + 1234200086.

It is an arithmetic number, because the mean of its divisors is an integer number (819990486).

Almost surely, 2^213516600000 is an apocalyptic number.

213516600000 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 213516600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413275204944).

213516600000 is an abundant number, since it is smaller than the sum of its proper divisors (613033809888).

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

213516600000 is a wasteful number, since it uses less digits than its factorization.

213516600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 213516600000 in words is "two hundred thirteen billion, five hundred sixteen million, six hundred thousand".