5258168000 has 336 divisors, whose sum is σ = 14746784832. Its totient is φ = 1847296000.

The previous prime is 5258167979. The next prime is 5258168021. The reversal of 5258168000 is 8618525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5258167979) and next prime (5258168021).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128247980 + ... + 128248020.

Almost surely, 2^5258168000 is an apocalyptic number.

5258168000 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 5258168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373392416).

5258168000 is an abundant number, since it is smaller than the sum of its proper divisors (9488616832).

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

5258168000 is a wasteful number, since it uses less digits than its factorization.

5258168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 5258168000 is about 72513.2263797440. The cubic root of 5258168000 is about 1738.9141946360.

The spelling of 5258168000 in words is "five billion, two hundred fifty-eight million, one hundred sixty-eight thousand".