213553972800 has 1680 divisors, whose sum is σ = 969705399168. Its totient is φ = 44988825600.

The previous prime is 213553972789. The next prime is 213553972829. The reversal of 213553972800 is 8279355312.

213553972800 is a `hidden beast` number, since 2 + 1 + 3 + 553 + 97 + 2 + 8 + 0 + 0 = 666.

213553972800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 940766287 + ... + 940766513.

Almost surely, 2^213553972800 is an apocalyptic number.

213553972800 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 213553972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484852699584).

213553972800 is an abundant number, since it is smaller than the sum of its proper divisors (756151426368).

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

213553972800 is a wasteful number, since it uses less digits than its factorization.

213553972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 213553972800 in words is "two hundred thirteen billion, five hundred fifty-three million, nine hundred seventy-two thousand, eight hundred".