5686432139520 has 1440 divisors, whose sum is σ = 24173447760000. Its totient is φ = 1260801884160.

The previous prime is 5686432139503. The next prime is 5686432139527. The reversal of 5686432139520 is 259312346865.

It is a happy number.

5686432139520 is a `hidden beast` number, since 5 + 6 + 8 + 64 + 3 + 21 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (5686432139527) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628399956 + ... + 628409004.

It is an arithmetic number, because the mean of its divisors is an integer number (16787116500).

Almost surely, 2^{5686432139520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5686432139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086723880000).

5686432139520 is an abundant number, since it is smaller than the sum of its proper divisors (18487015620480).

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

5686432139520 is a wasteful number, since it uses less digits than its factorization.

5686432139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5686432139520 in words is "five trillion, six hundred eighty-six billion, four hundred thirty-two million, one hundred thirty-nine thousand, five hundred twenty".