5087185382400 has 1584 divisors, whose sum is σ = 19607299219200. Its totient is φ = 1160390246400.

The previous prime is 5087185382369. The next prime is 5087185382423. The reversal of 5087185382400 is 42835817805.

It is a super-2 number, since 2×5087185382400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11588121381 + ... + 11588121819.

Almost surely, 2^{5087185382400} is an apocalyptic number.

5087185382400 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 5087185382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803649609600).

5087185382400 is an abundant number, since it is smaller than the sum of its proper divisors (14520113836800).

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

5087185382400 is a wasteful number, since it uses less digits than its factorization.

5087185382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 5087185382400 in words is "five trillion, eighty-seven billion, one hundred eighty-five million, three hundred eighty-two thousand, four hundred".