5127084800 has 54 divisors (see below), whose sum is σ = 12690351828. Its totient is φ = 2050831360.

The previous prime is 5127084779. The next prime is 5127084821. The reversal of 5127084800 is 84807215.

It is an interprime number because it is at equal distance from previous prime (5127084779) and next prime (5127084821).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 394154 + ... + 406953.

Almost surely, 2^5127084800 is an apocalyptic number.

5127084800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5127084800 is an abundant number, since it is smaller than the sum of its proper divisors (7563267028).

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

5127084800 is an equidigital number, since it uses as much as digits as its factorization.

5127084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801133 (or 801114 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 5127084800 is about 71603.6647106836. The cubic root of 5127084800 is about 1724.3423720203.

The spelling of 5127084800 in words is "five billion, one hundred twenty-seven million, eighty-four thousand, eight hundred".