213472972800 has 936 divisors, whose sum is σ = 829626942144. Its totient is φ = 54305095680.

The previous prime is 213472972787. The next prime is 213472972813. The reversal of 213472972800 is 8279274312.

213472972800 is a `hidden beast` number, since 2 + 1 + 347 + 29 + 7 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213472972787) and next prime (213472972813).

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 71 ways as a sum of consecutive naturals, for example, 572313414 + ... + 572313786.

Almost surely, 2^213472972800 is an apocalyptic number.

213472972800 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 213472972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414813471072).

213472972800 is an abundant number, since it is smaller than the sum of its proper divisors (616153969344).

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

213472972800 is an equidigital number, since it uses as much as digits as its factorization.

213472972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 213472972800 in words is "two hundred thirteen billion, four hundred seventy-two million, nine hundred seventy-two thousand, eight hundred".