213174796800 has 480 divisors, whose sum is σ = 818067533184. Its totient is φ = 47923200000.

The previous prime is 213174796799. The next prime is 213174796811. The reversal of 213174796800 is 8697471312.

It is a happy number.

213174796800 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 213174796800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16390300 + ... + 16403300.

Almost surely, 2^213174796800 is an apocalyptic number.

213174796800 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 213174796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409033766592).

213174796800 is an abundant number, since it is smaller than the sum of its proper divisors (604892736384).

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

213174796800 is a wasteful number, since it uses less digits than its factorization.

213174796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13100 (or 13079 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 213174796800 in words is "two hundred thirteen billion, one hundred seventy-four million, seven hundred ninety-six thousand, eight hundred".