5178078360 has 1024 divisors, whose sum is σ = 23224320000. Its totient is φ = 995825664.

The previous prime is 5178078359. The next prime is 5178078377. The reversal of 5178078360 is 638708715.

5178078360 is a `hidden beast` number, since 517 + 8 + 0 + 78 + 3 + 60 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87764011 + ... + 87764069.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^5178078360 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 5178078360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160000).

5178078360 is an abundant number, since it is smaller than the sum of its proper divisors (18046241640).

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

5178078360 is a wasteful number, since it uses less digits than its factorization.

5178078360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5178078360 is about 71958.8657498157. The cubic root of 5178078360 is about 1730.0402454246.

The spelling of 5178078360 in words is "five billion, one hundred seventy-eight million, seventy-eight thousand, three hundred sixty".