87395863680000 has 2640 divisors, whose sum is σ = 348431360973696. Its totient is φ = 21824225280000.

The previous prime is 87395863679987. The next prime is 87395863680011. The reversal of 87395863680000 is 8636859378.

It is a self number, because there is not a number n which added to its sum of digits gives 87395863680000.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 189578879770 + ... + 189578880230.

Almost surely, 2^{87395863680000} is an apocalyptic number.

87395863680000 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 87395863680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174215680486848).

87395863680000 is an abundant number, since it is smaller than the sum of its proper divisors (261035497293696).

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

87395863680000 is an equidigital number, since it uses as much as digits as its factorization.

87395863680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 87395863680000 in words is "eighty-seven trillion, three hundred ninety-five billion, eight hundred sixty-three million, six hundred eighty thousand".