213075453085200 has 1440 divisors, whose sum is σ = 812660455152000. Its totient is φ = 53465357352960.

The previous prime is 213075453085147. The next prime is 213075453085217. The reversal of 213075453085200 is 2580354570312.

213075453085200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 7 + 545 + 3 + 0 + 85 + 20 + 0 = 666.

It is a super-3 number, since 3×213075453085200³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 242959467162 + ... + 242959468038.

It is an arithmetic number, because the mean of its divisors is an integer number (564347538300).

Almost surely, 2^{213075453085200} is an apocalyptic number.

213075453085200 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 213075453085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406330227576000).

213075453085200 is an abundant number, since it is smaller than the sum of its proper divisors (599585002066800).

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

213075453085200 is a wasteful number, since it uses less digits than its factorization.

213075453085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 213075453085200 in words is "two hundred thirteen trillion, seventy-five billion, four hundred fifty-three million, eighty-five thousand, two hundred".