213199257600 has 1536 divisors, whose sum is σ = 959558227200. Its totient is φ = 45864714240.

The previous prime is 213199257529. The next prime is 213199257611. The reversal of 213199257600 is 6752991312.

It is a happy number.

213199257600 is a `hidden beast` number, since 2 + 1 + 3 + 19 + 9 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 12541132792 + ... + 12541132808.

Almost surely, 2^213199257600 is an apocalyptic number.

213199257600 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 213199257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479779113600).

213199257600 is an abundant number, since it is smaller than the sum of its proper divisors (746358969600).

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

213199257600 is an frugal number, since it uses more digits than its factorization.

213199257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 213199257600 in words is "two hundred thirteen billion, one hundred ninety-nine million, two hundred fifty-seven thousand, six hundred".