87163135488 has 960 divisors, whose sum is σ = 324303243264. Its totient is φ = 22118400000.

The previous prime is 87163135439. The next prime is 87163135517. The reversal of 87163135488 is 88453136178.

It is a happy number.

87163135488 is a `hidden beast` number, since 8 + 71 + 63 + 1 + 35 + 488 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347263363 + ... + 347263613.

Almost surely, 2^87163135488 is an apocalyptic number.

87163135488 is a gapful number since it is divisible by the number (88) 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 87163135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162151621632).

87163135488 is an abundant number, since it is smaller than the sum of its proper divisors (237140107776).

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

87163135488 is a wasteful number, since it uses less digits than its factorization.

87163135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 87163135488 in words is "eighty-seven billion, one hundred sixty-three million, one hundred thirty-five thousand, four hundred eighty-eight".