5180375577600 has 792 divisors, whose sum is σ = 19390997150720. Its totient is φ = 1319804928000.

The previous prime is 5180375577571. The next prime is 5180375577659. The reversal of 5180375577600 is 67755730815.

5180375577600 is a `hidden beast` number, since 5 + 1 + 8 + 0 + 3 + 7 + 5 + 577 + 60 + 0 = 666.

It is a super-2 number, since 2×5180375577600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 564245010 + ... + 564254190.

Almost surely, 2^{5180375577600} is an apocalyptic number.

5180375577600 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 5180375577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695498575360).

5180375577600 is an abundant number, since it is smaller than the sum of its proper divisors (14210621573120).

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

5180375577600 is a wasteful number, since it uses less digits than its factorization.

5180375577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 5180375577600 in words is "five trillion, one hundred eighty billion, three hundred seventy-five million, five hundred seventy-seven thousand, six hundred".