213033763227600 has 840 divisors, whose sum is σ = 878354506177920. Its totient is φ = 48617869870080.

The previous prime is 213033763227553. The next prime is 213033763227613. The reversal of 213033763227600 is 6722367330312.

It is a happy number.

213033763227600 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 3 + 7 + 6 + 32 + 2 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1320575746 + ... + 1320737054.

Almost surely, 2^{213033763227600} is an apocalyptic number.

213033763227600 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 213033763227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439177253088960).

213033763227600 is an abundant number, since it is smaller than the sum of its proper divisors (665320742950320).

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

213033763227600 is a wasteful number, since it uses less digits than its factorization.

213033763227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161999 (or 161973 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 213033763227600 in words is "two hundred thirteen trillion, thirty-three billion, seven hundred sixty-three million, two hundred twenty-seven thousand, six hundred".