213832420577280 has 728 divisors, whose sum is σ = 809844021906720. Its totient is φ = 54020750376960.

The previous prime is 213832420577249. The next prime is 213832420577317. The reversal of 213832420577280 is 82775024238312.

It is a happy number.

213832420577280 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 3 + 2 + 42 + 0 + 577 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 283291575 + ... + 284045385.

Almost surely, 2^{213832420577280} is an apocalyptic number.

213832420577280 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 213832420577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404922010953360).

213832420577280 is an abundant number, since it is smaller than the sum of its proper divisors (596011601329440).

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

213832420577280 is an frugal number, since it uses more digits than its factorization.

213832420577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753877 (or 753840 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 213832420577280 in words is "two hundred thirteen trillion, eight hundred thirty-two billion, four hundred twenty million, five hundred seventy-seven thousand, two hundred eighty".