213415180992 has 672 divisors, whose sum is σ = 721707098112. Its totient is φ = 59695792128.

The previous prime is 213415180939. The next prime is 213415181011. The reversal of 213415180992 is 299081514312.

213415180992 is a `hidden beast` number, since 2 + 1 + 3 + 41 + 518 + 0 + 9 + 92 = 666.

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, 695163303 + ... + 695163609.

It is an arithmetic number, because the mean of its divisors is an integer number (1073968896).

Almost surely, 2^213415180992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213415180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360853549056).

213415180992 is an abundant number, since it is smaller than the sum of its proper divisors (508291917120).

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

213415180992 is a wasteful number, since it uses less digits than its factorization.

213415180992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 213415180992 in words is "two hundred thirteen billion, four hundred fifteen million, one hundred eighty thousand, nine hundred ninety-two".