213953307855000 has 320 divisors, whose sum is σ = 764358801888000. Its totient is φ = 48872604096000.

The previous prime is 213953307854983. The next prime is 213953307855031. The reversal of 213953307855000 is 558703359312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165149766 + ... + 166440234.

It is an arithmetic number, because the mean of its divisors is an integer number (2388621255900).

Almost surely, 2^{213953307855000} is an apocalyptic number.

213953307855000 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 213953307855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382179400944000).

213953307855000 is an abundant number, since it is smaller than the sum of its proper divisors (550405494033000).

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

213953307855000 is a wasteful number, since it uses less digits than its factorization.

213953307855000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292084 (or 1292065 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 213953307855000 in words is "two hundred thirteen trillion, nine hundred fifty-three billion, three hundred seven million, eight hundred fifty-five thousand".