87510480300 has 360 divisors, whose sum is σ = 289184935424. Its totient is φ = 22887567360.

The previous prime is 87510480283. The next prime is 87510480313. The reversal of 87510480300 is 308401578.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99783462 + ... + 99784338.

Almost surely, 2^87510480300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87510480300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144592467712).

87510480300 is an abundant number, since it is smaller than the sum of its proper divisors (201674455124).

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

87510480300 is a wasteful number, since it uses less digits than its factorization.

87510480300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 87510480300 its reverse (308401578), we get a palindrome (87818881878).

The spelling of 87510480300 in words is "eighty-seven billion, five hundred ten million, four hundred eighty thousand, three hundred".