213399065088000 has 1248 divisors, whose sum is σ = 841539926253312. Its totient is φ = 51589840896000.

The previous prime is 213399065087993. The next prime is 213399065088017. The reversal of 213399065088000 is 880560993312.

213399065088000 is a `hidden beast` number, since 2 + 13 + 39 + 90 + 6 + 508 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18906618357 + ... + 18906629643.

It is an arithmetic number, because the mean of its divisors is an integer number (674310838344).

Almost surely, 2^{213399065088000} is an apocalyptic number.

213399065088000 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 213399065088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420769963126656).

213399065088000 is an abundant number, since it is smaller than the sum of its proper divisors (628140861165312).

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

213399065088000 is a wasteful number, since it uses less digits than its factorization.

213399065088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 213399065088000 in words is "two hundred thirteen trillion, three hundred ninety-nine billion, sixty-five million, eighty-eight thousand".