87130431360 has 384 divisors, whose sum is σ = 345023078400. Its totient is φ = 19847835648.

The previous prime is 87130431337. The next prime is 87130431361. The reversal of 87130431360 is 6313403178.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87130431361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12374721 + ... + 12381759.

It is an arithmetic number, because the mean of its divisors is an integer number (898497600).

Almost surely, 2^87130431360 is an apocalyptic number.

87130431360 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 87130431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172511539200).

87130431360 is an abundant number, since it is smaller than the sum of its proper divisors (257892647040).

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

87130431360 is a wasteful number, since it uses less digits than its factorization.

87130431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 87130431360 in words is "eighty-seven billion, one hundred thirty million, four hundred thirty-one thousand, three hundred sixty".