87158484436800 has 1344 divisors, whose sum is σ = 335138081218560. Its totient is φ = 19421662740480.

The previous prime is 87158484436799. The next prime is 87158484436841. The reversal of 87158484436800 is 863448485178.

87158484436800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 92036413927 + ... + 92036414873.

Almost surely, 2^{87158484436800} is an apocalyptic number.

87158484436800 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 87158484436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167569040609280).

87158484436800 is an abundant number, since it is smaller than the sum of its proper divisors (247979596781760).

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

87158484436800 is a wasteful number, since it uses less digits than its factorization.

87158484436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 66.

The spelling of 87158484436800 in words is "eighty-seven trillion, one hundred fifty-eight billion, four hundred eighty-four million, four hundred thirty-six thousand, eight hundred".