5134858560 has 672 divisors, whose sum is σ = 20369905920. Its totient is φ = 1177583616.

The previous prime is 5134858543. The next prime is 5134858571. The reversal of 5134858560 is 658584315.

5134858560 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 8 + 585 + 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 95 ways as a sum of consecutive naturals, for example, 57694996 + ... + 57695084.

It is an arithmetic number, because the mean of its divisors is an integer number (30312360).

Almost surely, 2^5134858560 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 5134858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184952960).

5134858560 is an abundant number, since it is smaller than the sum of its proper divisors (15235047360).

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

5134858560 is a wasteful number, since it uses less digits than its factorization.

5134858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

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

The square root of 5134858560 is about 71657.9274051378. The cubic root of 5134858560 is about 1725.2134228689.

The spelling of 5134858560 in words is "five billion, one hundred thirty-four million, eight hundred fifty-eight thousand, five hundred sixty".