87971560000 has 105 divisors (see below), whose sum is σ = 218288071551. Its totient is φ = 35164896000.

The previous prime is 87971559983. The next prime is 87971560009. The reversal of 87971560000 is 6517978.

The square root of 87971560000 is 296600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6896970304 + 81074589696 = 83048^2 + 284736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87971560009) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 59319259 + ... + 59320741.

Almost surely, 2^87971560000 is an apocalyptic number.

87971560000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87971560000 is the 296600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87971560000

87971560000 is an abundant number, since it is smaller than the sum of its proper divisors (130316511551).

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

87971560000 is an frugal number, since it uses more digits than its factorization.

87971560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 87971560000 in words is "eighty-seven billion, nine hundred seventy-one million, five hundred sixty thousand".