213915891168000 has 2160 divisors, whose sum is σ = 941228954553888. Its totient is φ = 48091760640000.

The previous prime is 213915891167983. The next prime is 213915891168041. The reversal of 213915891168000 is 861198519312.

It is a happy number.

213915891168000 is a `hidden beast` number, since 2 + 1 + 391 + 5 + 8 + 91 + 168 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 7747474195 + ... + 7747501805.

Almost surely, 2^{213915891168000} is an apocalyptic number.

213915891168000 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 213915891168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470614477276944).

213915891168000 is an abundant number, since it is smaller than the sum of its proper divisors (727313063385888).

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

213915891168000 is an equidigital number, since it uses as much as digits as its factorization.

213915891168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27729 (or 27689 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 213915891168000 in words is "two hundred thirteen trillion, nine hundred fifteen billion, eight hundred ninety-one million, one hundred sixty-eight thousand".