5190248025600 has 240 divisors, whose sum is σ = 18704357844480. Its totient is φ = 1258241843200.

The previous prime is 5190248025587. The next prime is 5190248025617. The reversal of 5190248025600 is 65208420915.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5721360 + ... + 6566159.

It is an arithmetic number, because the mean of its divisors is an integer number (77934824352).

Almost surely, 2^{5190248025600} is an apocalyptic number.

5190248025600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5190248025600 is an abundant number, since it is smaller than the sum of its proper divisors (13514109818880).

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

5190248025600 is a wasteful number, since it uses less digits than its factorization.

5190248025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287561 (or 12287540 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 5190248025600 in words is "five trillion, one hundred ninety billion, two hundred forty-eight million, twenty-five thousand, six hundred".