87463588896 has 288 divisors, whose sum is σ = 272086214400. Its totient is φ = 26545397760.

The previous prime is 87463588889. The next prime is 87463588903. The reversal of 87463588896 is 69888536478.

87463588896 is a `hidden beast` number, since 8 + 7 + 463 + 5 + 88 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (87463588889) and next prime (87463588903).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (557383680) is a multiple of the sum of its prime factors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38242665 + ... + 38244951.

It is an arithmetic number, because the mean of its divisors is an integer number (944743800).

Almost surely, 2^87463588896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87463588896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136043107200).

87463588896 is an abundant number, since it is smaller than the sum of its proper divisors (184622625504).

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

87463588896 is a wasteful number, since it uses less digits than its factorization.

87463588896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2581 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 87463588896 in words is "eighty-seven billion, four hundred sixty-three million, five hundred eighty-eight thousand, eight hundred ninety-six".