213087561523200 has 4032 divisors, whose sum is σ = 981344421937152. Its totient is φ = 42989676134400.

The previous prime is 213087561523181. The next prime is 213087561523217. The reversal of 213087561523200 is 2325165780312.

213087561523200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 8 + 7 + 5 + 615 + 2 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 556364390209 + ... + 556364390591.

It is an arithmetic number, because the mean of its divisors is an integer number (243388993536).

Almost surely, 2^{213087561523200} is an apocalyptic number.

213087561523200 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 213087561523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490672210968576).

213087561523200 is an abundant number, since it is smaller than the sum of its proper divisors (768256860413952).

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

213087561523200 is a wasteful number, since it uses less digits than its factorization.

213087561523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 213087561523200 in words is "two hundred thirteen trillion, eighty-seven billion, five hundred sixty-one million, five hundred twenty-three thousand, two hundred".