5115298240800 has 1152 divisors, whose sum is σ = 21284387712000. Its totient is φ = 1172595916800.

The previous prime is 5115298240777. The next prime is 5115298240813. The reversal of 5115298240800 is 80428925115.

5115298240800 is a `hidden beast` number, since 5 + 1 + 1 + 529 + 8 + 2 + 40 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4555029039 + ... + 4555030161.

It is an arithmetic number, because the mean of its divisors is an integer number (18476031000).

Almost surely, 2^{5115298240800} is an apocalyptic number.

5115298240800 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 5115298240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10642193856000).

5115298240800 is an abundant number, since it is smaller than the sum of its proper divisors (16169089471200).

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

5115298240800 is a wasteful number, since it uses less digits than its factorization.

5115298240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 5115298240800 in words is "five trillion, one hundred fifteen billion, two hundred ninety-eight million, two hundred forty thousand, eight hundred".