5087812400 has 120 divisors (see below), whose sum is σ = 14036750400. Its totient is φ = 1752710400.

The previous prime is 5087812363. The next prime is 5087812409. The reversal of 5087812400 is 42187805.

It is not an unprimeable number, because it can be changed into a prime (5087812409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53171 + ... + 114029.

It is an arithmetic number, because the mean of its divisors is an integer number (116972920).

Almost surely, 2^5087812400 is an apocalyptic number.

5087812400 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 5087812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018375200).

5087812400 is an abundant number, since it is smaller than the sum of its proper divisors (8948938000).

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

5087812400 is a wasteful number, since it uses less digits than its factorization.

5087812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60907 (or 60896 counting only the distinct ones).

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

The square root of 5087812400 is about 71328.9029776850. The cubic root of 5087812400 is about 1719.9283817304.

The spelling of 5087812400 in words is "five billion, eighty-seven million, eight hundred twelve thousand, four hundred".