213081677858304 has 320 divisors, whose sum is σ = 658396134950400. Its totient is φ = 67914699595776.

The previous prime is 213081677858299. The next prime is 213081677858333. The reversal of 213081677858304 is 403858776180312.

It is a happy number.

213081677858304 is a `hidden beast` number, since 2 + 1 + 30 + 8 + 16 + 7 + 7 + 8 + 583 + 0 + 4 = 666.

It is a super-2 number, since 2×213081677858304² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896187822 + ... + 896425554.

It is an arithmetic number, because the mean of its divisors is an integer number (2057487921720).

Almost surely, 2^{213081677858304} is an apocalyptic number.

213081677858304 is a gapful number since it is divisible by the number (24) 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 213081677858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329198067475200).

213081677858304 is an abundant number, since it is smaller than the sum of its proper divisors (445314457092096).

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

213081677858304 is a wasteful number, since it uses less digits than its factorization.

213081677858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240602 (or 240580 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 213081677858304 in words is "two hundred thirteen trillion, eighty-one billion, six hundred seventy-seven million, eight hundred fifty-eight thousand, three hundred four".