5106252584160 has 2304 divisors, whose sum is σ = 23433524674560. Its totient is φ = 1020519751680.

The previous prime is 5106252584159. The next prime is 5106252584161. The reversal of 5106252584160 is 614852526015.

5106252584160 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 2 + 5 + 2 + 584 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5106252584159) and next prime (5106252584161).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106252584161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 10660234801 + ... + 10660235279.

It is an arithmetic number, because the mean of its divisors is an integer number (10170800640).

Almost surely, 2^{5106252584160} 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 5106252584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716762337280).

5106252584160 is an abundant number, since it is smaller than the sum of its proper divisors (18327272090400).

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

5106252584160 is a wasteful number, since it uses less digits than its factorization.

5106252584160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5106252584160 in words is "five trillion, one hundred six billion, two hundred fifty-two million, five hundred eighty-four thousand, one hundred sixty".