213165388800 has 1056 divisors, whose sum is σ = 963734150400. Its totient is φ = 44962283520.

The previous prime is 213165388783. The next prime is 213165388837. The reversal of 213165388800 is 8883561312.

213165388800 is a `hidden beast` number, since 2 + 1 + 31 + 6 + 538 + 8 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62897506 + ... + 62900894.

Almost surely, 2^213165388800 is an apocalyptic number.

213165388800 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 213165388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481867075200).

213165388800 is an abundant number, since it is smaller than the sum of its proper divisors (750568761600).

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

213165388800 is a wasteful number, since it uses less digits than its factorization.

213165388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 213165388800 in words is "two hundred thirteen billion, one hundred sixty-five million, three hundred eighty-eight thousand, eight hundred".