87483110400 has 1584 divisors, whose sum is σ = 388052246400. Its totient is φ = 19508428800.

The previous prime is 87483110329. The next prime is 87483110413. The reversal of 87483110400 is 401138478.

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

It is a congruent number.

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, 2133734380 + ... + 2133734420.

Almost surely, 2^87483110400 is an apocalyptic number.

87483110400 is a gapful number since it is divisible by the number (80) 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 87483110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194026123200).

87483110400 is an abundant number, since it is smaller than the sum of its proper divisors (300569136000).

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

87483110400 is an equidigital number, since it uses as much as digits as its factorization.

87483110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 87483110400 its reverse (401138478), we get a palindrome (87884248878).

The spelling of 87483110400 in words is "eighty-seven billion, four hundred eighty-three million, one hundred ten thousand, four hundred".