213825672080 has 40 divisors (see below), whose sum is σ = 497214065400. Its totient is φ = 85518332928.

The previous prime is 213825672031. The next prime is 213825672101. The reversal of 213825672080 is 80276528312.

It can be written as a sum of positive squares in 4 ways, for example, as 50195713936 + 163629958144 = 224044^2 + 404512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401876 + ... + 767564.

It is an arithmetic number, because the mean of its divisors is an integer number (12430351635).

Almost surely, 2^213825672080 is an apocalyptic number.

213825672080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213825672080 is an abundant number, since it is smaller than the sum of its proper divisors (283388393320).

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

213825672080 is a wasteful number, since it uses less digits than its factorization.

213825672080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373011 (or 373005 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 213825672080 in words is "two hundred thirteen billion, eight hundred twenty-five million, six hundred seventy-two thousand, eighty".