87131363712 has 576 divisors, whose sum is σ = 273634257600. Its totient is φ = 24478433280.

The previous prime is 87131363701. The next prime is 87131363713. The reversal of 87131363712 is 21736313178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87131363713) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2026310763 + ... + 2026310805.

It is an arithmetic number, because the mean of its divisors is an integer number (475059475).

Almost surely, 2^87131363712 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 87131363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136817128800).

87131363712 is an abundant number, since it is smaller than the sum of its proper divisors (186502893888).

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

87131363712 is a wasteful number, since it uses less digits than its factorization.

87131363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 115 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The spelling of 87131363712 in words is "eighty-seven billion, one hundred thirty-one million, three hundred sixty-three thousand, seven hundred twelve".