5106878280 has 448 divisors, whose sum is σ = 19944714240. Its totient is φ = 1152216576.

The previous prime is 5106878263. The next prime is 5106878297. The reversal of 5106878280 is 828786015.

5106878280 is a `hidden beast` number, since 510 + 68 + 78 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5106878263) and next prime (5106878297).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25923142 + ... + 25923338.

Almost surely, 2^5106878280 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 5106878280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972357120).

5106878280 is an abundant number, since it is smaller than the sum of its proper divisors (14837835960).

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

5106878280 is a wasteful number, since it uses less digits than its factorization.

5106878280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5106878280 is about 71462.4256515268. The cubic root of 5106878280 is about 1722.0741023605.

The spelling of 5106878280 in words is "five billion, one hundred six million, eight hundred seventy-eight thousand, two hundred eighty".