213090334632000 has 1120 divisors, whose sum is σ = 912342714117120. Its totient is φ = 48089745100800.

The previous prime is 213090334631947. The next prime is 213090334632037. The reversal of 213090334632000 is 236433090312.

213090334632000 is a `hidden beast` number, since 2 + 1 + 30 + 90 + 334 + 6 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358046674 + ... + 358641326.

Almost surely, 2^{213090334632000} is an apocalyptic number.

213090334632000 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 213090334632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456171357058560).

213090334632000 is an abundant number, since it is smaller than the sum of its proper divisors (699252379485120).

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

213090334632000 is an equidigital number, since it uses as much as digits as its factorization.

213090334632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594778 (or 594749 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 213090334632000 in words is "two hundred thirteen trillion, ninety billion, three hundred thirty-four million, six hundred thirty-two thousand".