5107098278400 has 240 divisors, whose sum is σ = 17326957221024. Its totient is φ = 1325084590080.

The previous prime is 5107098278377. The next prime is 5107098278419. The reversal of 5107098278400 is 48728907015.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376462 + ... + 3218061.

Almost surely, 2^{5107098278400} is an apocalyptic number.

5107098278400 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 5107098278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663478610512).

5107098278400 is an abundant number, since it is smaller than the sum of its proper divisors (12219858942624).

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

5107098278400 is a wasteful number, since it uses less digits than its factorization.

5107098278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594591 (or 3594570 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 5107098278400 in words is "five trillion, one hundred seven billion, ninety-eight million, two hundred seventy-eight thousand, four hundred".