5148918547200 has 1296 divisors, whose sum is σ = 20082164409216. Its totient is φ = 1253493964800.

The previous prime is 5148918547181. The next prime is 5148918547229. The reversal of 5148918547200 is 27458198415.

5148918547200 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 91 + 8 + 547 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×5148918547200² (a number of 26 digits) contains 22 as substring.

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, 11120774169 + ... + 11120774631.

Almost surely, 2^{5148918547200} is an apocalyptic number.

5148918547200 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 5148918547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041082204608).

5148918547200 is an abundant number, since it is smaller than the sum of its proper divisors (14933245862016).

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

5148918547200 is a wasteful number, since it uses less digits than its factorization.

5148918547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 5148918547200 in words is "five trillion, one hundred forty-eight billion, nine hundred eighteen million, five hundred forty-seven thousand, two hundred".