5205086040 has 384 divisors, whose sum is σ = 19884372480. Its totient is φ = 1066813440.

The previous prime is 5205085979. The next prime is 5205086053. The reversal of 5205086040 is 406805025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5205085989 and 5205086007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8435812 + ... + 8436428.

It is an arithmetic number, because the mean of its divisors is an integer number (51782220).

Almost surely, 2^5205086040 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 5205086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942186240).

5205086040 is an abundant number, since it is smaller than the sum of its proper divisors (14679286440).

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

5205086040 is a wasteful number, since it uses less digits than its factorization.

5205086040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5205086040 is about 72146.2822326972. The cubic root of 5205086040 is about 1733.0428633905.

The spelling of 5205086040 in words is "five billion, two hundred five million, eighty-six thousand, forty".