87431036000 has 384 divisors, whose sum is σ = 276494819328. Its totient is φ = 26369280000.

The previous prime is 87431035997. The next prime is 87431036029. The reversal of 87431036000 is 63013478.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9543422 + ... + 9552578.

It is an arithmetic number, because the mean of its divisors is an integer number (720038592).

Almost surely, 2^87431036000 is an apocalyptic number.

87431036000 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 87431036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138247409664).

87431036000 is an abundant number, since it is smaller than the sum of its proper divisors (189063783328).

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

87431036000 is a wasteful number, since it uses less digits than its factorization.

87431036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 87431036000 its reverse (63013478), we get a palindrome (87494049478).

The spelling of 87431036000 in words is "eighty-seven billion, four hundred thirty-one million, thirty-six thousand".