213048223315200 has 8640 divisors, whose sum is σ = 1057242432153600. Its totient is φ = 41997745520640.

The previous prime is 213048223315099. The next prime is 213048223315259. The reversal of 213048223315200 is 2513322840312.

213048223315200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 82 + 23 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4019777798374 + ... + 4019777798426.

It is an arithmetic number, because the mean of its divisors is an integer number (122366022240).

Almost surely, 2^{213048223315200} is an apocalyptic number.

213048223315200 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 213048223315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528621216076800).

213048223315200 is an abundant number, since it is smaller than the sum of its proper divisors (844194208838400).

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

213048223315200 is a wasteful number, since it uses less digits than its factorization.

213048223315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 213048223315200 in words is "two hundred thirteen trillion, forty-eight billion, two hundred twenty-three million, three hundred fifteen thousand, two hundred".