213345541200 has 240 divisors, whose sum is σ = 771255547200. Its totient is φ = 49936588800.

The previous prime is 213345541183. The next prime is 213345541261. The reversal of 213345541200 is 2145543312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 104136 + ... + 661464.

It is an arithmetic number, because the mean of its divisors is an integer number (3213564780).

Almost surely, 2^213345541200 is an apocalyptic number.

213345541200 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 213345541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385627773600).

213345541200 is an abundant number, since it is smaller than the sum of its proper divisors (557910006000).

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

213345541200 is a wasteful number, since it uses less digits than its factorization.

213345541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557390 (or 557379 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 2133455 and 41200, that added together give a triangular number (2174655 = T₂₀₈₅).

The spelling of 213345541200 in words is "two hundred thirteen billion, three hundred forty-five million, five hundred forty-one thousand, two hundred".