87237468010000 has 675 divisors, whose sum is σ = 270283171865553. Its totient is φ = 27168482880000.

The previous prime is 87237468009977. The next prime is 87237468010027. The reversal of 87237468010000 is 1086473278.

The square root of 87237468010000 is 9340100.

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

87237468010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 86674535927056 + 562932082944 = 9309916^2 + 750288^2 .

It is a super-2 number, since 2×87237468010000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 71918769394 + ... + 71918770606.

Almost surely, 2^{87237468010000} is an apocalyptic number.

87237468010000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87237468010000 is the 9340100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87237468010000

87237468010000 is an abundant number, since it is smaller than the sum of its proper divisors (183045703855553).

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

87237468010000 is an equidigital number, since it uses as much as digits as its factorization.

87237468010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 87237468010000 in words is "eighty-seven trillion, two hundred thirty-seven billion, four hundred sixty-eight million, ten thousand".