87603894424800 has 1944 divisors, whose sum is σ = 353263907865960. Its totient is φ = 21197425766400.

The previous prime is 87603894424799. The next prime is 87603894424843. The reversal of 87603894424800 is 842449830678.

87603894424800 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 389 + 4 + 4 + 248 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 54109878391 + ... + 54109880009.

It is an arithmetic number, because the mean of its divisors is an integer number (181720117215).

Almost surely, 2^{87603894424800} is an apocalyptic number.

87603894424800 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 87603894424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176631953932980).

87603894424800 is an abundant number, since it is smaller than the sum of its proper divisors (265660013441160).

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

87603894424800 is a wasteful number, since it uses less digits than its factorization.

87603894424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 87603894424800 in words is "eighty-seven trillion, six hundred three billion, eight hundred ninety-four million, four hundred twenty-four thousand, eight hundred".