87036476468480 has 864 divisors, whose sum is σ = 277570530784512. Its totient is φ = 25507304570880.

The previous prime is 87036476468479. The next prime is 87036476468489. The reversal of 87036476468480 is 8486467463078.

87036476468480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87036476468489) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27517063379 + ... + 27517066541.

It is an arithmetic number, because the mean of its divisors is an integer number (321262188408).

Almost surely, 2^{87036476468480} is an apocalyptic number.

87036476468480 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 87036476468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138785265392256).

87036476468480 is an abundant number, since it is smaller than the sum of its proper divisors (190534054316032).

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

87036476468480 is a wasteful number, since it uses less digits than its factorization.

87036476468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 71.

The spelling of 87036476468480 in words is "eighty-seven trillion, thirty-six billion, four hundred seventy-six million, four hundred sixty-eight thousand, four hundred eighty".