5122848000 has 576 divisors, whose sum is σ = 18687981312. Its totient is φ = 1238630400.

The previous prime is 5122847993. The next prime is 5122848007. The reversal of 5122848000 is 8482215.

It is an interprime number because it is at equal distance from previous prime (5122847993) and next prime (5122848007).

It is a super-2 number, since 2×5122848000² = 52487143262208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122848007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70175964 + ... + 70176036.

It is an arithmetic number, because the mean of its divisors is an integer number (32444412).

Almost surely, 2^5122848000 is an apocalyptic number.

5122848000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5122848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343990656).

5122848000 is an abundant number, since it is smaller than the sum of its proper divisors (13565133312).

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

5122848000 is a wasteful number, since it uses less digits than its factorization.

5122848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 5122848000 is about 71574.0735182789. The cubic root of 5122848000 is about 1723.8672672684.

The spelling of 5122848000 in words is "five billion, one hundred twenty-two million, eight hundred forty-eight thousand".