5186682426240 has 1536 divisors, whose sum is σ = 21760918272000. Its totient is φ = 1164002918400.

The previous prime is 5186682426227. The next prime is 5186682426253. The reversal of 5186682426240 is 426242866815.

5186682426240 is a `hidden beast` number, since 5 + 1 + 8 + 6 + 6 + 8 + 2 + 4 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5186682426227) and next prime (5186682426253).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14447583181 + ... + 14447583539.

It is an arithmetic number, because the mean of its divisors is an integer number (14167264500).

Almost surely, 2^{5186682426240} 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 5186682426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880459136000).

5186682426240 is an abundant number, since it is smaller than the sum of its proper divisors (16574235845760).

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

5186682426240 is a wasteful number, since it uses less digits than its factorization.

5186682426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5186682426240 in words is "five trillion, one hundred eighty-six billion, six hundred eighty-two million, four hundred twenty-six thousand, two hundred forty".