213901257360 has 640 divisors, whose sum is σ = 808176844800. Its totient is φ = 45774305280.

The previous prime is 213901257337. The next prime is 213901257371. The reversal of 213901257360 is 63752109312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205871721 + ... + 205872759.

It is an arithmetic number, because the mean of its divisors is an integer number (1262776320).

Almost surely, 2^213901257360 is an apocalyptic number.

213901257360 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 213901257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404088422400).

213901257360 is an abundant number, since it is smaller than the sum of its proper divisors (594275587440).

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

213901257360 is a wasteful number, since it uses less digits than its factorization.

213901257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 213901257360 in words is "two hundred thirteen billion, nine hundred one million, two hundred fifty-seven thousand, three hundred sixty".