5126078160 has 720 divisors, whose sum is σ = 21346490880. Its totient is φ = 1097349120.

The previous prime is 5126078131. The next prime is 5126078207. The reversal of 5126078160 is 618706215.

5126078160 is a `hidden beast` number, since 512 + 6 + 0 + 7 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47028186 + ... + 47028294.

It is an arithmetic number, because the mean of its divisors is an integer number (29647904).

Almost surely, 2^5126078160 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 5126078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673245440).

5126078160 is an abundant number, since it is smaller than the sum of its proper divisors (16220412720).

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

5126078160 is a wasteful number, since it uses less digits than its factorization.

5126078160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5126078160 is about 71596.6351164634. The cubic root of 5126078160 is about 1724.2295134996.

The spelling of 5126078160 in words is "five billion, one hundred twenty-six million, seventy-eight thousand, one hundred sixty".