5087464200 has 1440 divisors, whose sum is σ = 24245713800. Its totient is φ = 975421440.

The previous prime is 5087464177. The next prime is 5087464201. The reversal of 5087464200 is 24647805.

5087464200 is a `hidden beast` number, since 5 + 0 + 8 + 7 + 4 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 232440516 + 4855023684 = 15246^2 + 69678^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5087464201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 175429786 + ... + 175429814.

Almost surely, 2^5087464200 is an apocalyptic number.

5087464200 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 5087464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122856900).

5087464200 is an abundant number, since it is smaller than the sum of its proper divisors (19158249600).

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

5087464200 is a wasteful number, since it uses less digits than its factorization.

5087464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5087464200 is about 71326.4621301239. The cubic root of 5087464200 is about 1719.8891446492.

The spelling of 5087464200 in words is "five billion, eighty-seven million, four hundred sixty-four thousand, two hundred".