87941648000 has 64 divisors (see below), whose sum is σ = 218644962120. Its totient is φ = 35176652800.

The previous prime is 87941647979. The next prime is 87941648051. The reversal of 87941648000 is 84614978.

It can be written as a sum of positive squares in 4 ways, for example, as 3390965824 + 84550682176 = 58232^2 + 290776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2732177 + ... + 2764176.

Almost surely, 2^87941648000 is an apocalyptic number.

87941648000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87941648000 is an abundant number, since it is smaller than the sum of its proper divisors (130703314120).

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

87941648000 is an equidigital number, since it uses as much as digits as its factorization.

87941648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496382 (or 5496360 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 87941648000 in words is "eighty-seven billion, nine hundred forty-one million, six hundred forty-eight thousand".