213631678260 has 2304 divisors, whose sum is σ = 993003110400. Its totient is φ = 36951552000.

The previous prime is 213631678223. The next prime is 213631678303. The reversal of 213631678260 is 62876136312.

213631678260 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 316 + 78 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3502158630 + ... + 3502158690.

Almost surely, 2^213631678260 is an apocalyptic number.

213631678260 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 213631678260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496501555200).

213631678260 is an abundant number, since it is smaller than the sum of its proper divisors (779371432140).

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

213631678260 is a wasteful number, since it uses less digits than its factorization.

213631678260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213631678260 in words is "two hundred thirteen billion, six hundred thirty-one million, six hundred seventy-eight thousand, two hundred sixty".