5126146560 has 400 divisors, whose sum is σ = 18715989600. Its totient is φ = 1340596224.

The previous prime is 5126146559. The next prime is 5126146609. The reversal of 5126146560 is 656416215.

5126146560 is a `hidden beast` number, since 51 + 2 + 6 + 1 + 46 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12234031 + ... + 12234449.

It is an arithmetic number, because the mean of its divisors is an integer number (46789974).

Almost surely, 2^5126146560 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 5126146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357994800).

5126146560 is an abundant number, since it is smaller than the sum of its proper divisors (13589843040).

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

5126146560 is an equidigital number, since it uses as much as digits as its factorization.

5126146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5126146560 is about 71597.1127909499. The cubic root of 5126146560 is about 1724.2371825707.

The spelling of 5126146560 in words is "five billion, one hundred twenty-six million, one hundred forty-six thousand, five hundred sixty".