213681162240 has 1920 divisors, whose sum is σ = 998917920000. Its totient is φ = 42424860672.

The previous prime is 213681162181. The next prime is 213681162251. The reversal of 213681162240 is 42261186312.

It is a happy number.

213681162240 is a `hidden beast` number, since 2 + 13 + 6 + 8 + 11 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213681162195 and 213681162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1434101686 + ... + 1434101834.

It is an arithmetic number, because the mean of its divisors is an integer number (520269750).

Almost surely, 2^213681162240 is an apocalyptic number.

213681162240 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 213681162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499458960000).

213681162240 is an abundant number, since it is smaller than the sum of its proper divisors (785236757760).

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

213681162240 is a wasteful number, since it uses less digits than its factorization.

213681162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 213681162240 in words is "two hundred thirteen billion, six hundred eighty-one million, one hundred sixty-two thousand, two hundred forty".