87817143232 has 448 divisors, whose sum is σ = 230715555840. Its totient is φ = 32240332800.

The previous prime is 87817143221. The next prime is 87817143259. The reversal of 87817143232 is 23234171878.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670359807 + ... + 670359937.

It is an arithmetic number, because the mean of its divisors is an integer number (514990080).

Almost surely, 2^87817143232 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 87817143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115357777920).

87817143232 is an abundant number, since it is smaller than the sum of its proper divisors (142898412608).

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

87817143232 is a wasteful number, since it uses less digits than its factorization.

87817143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

It can be divided in two parts, 878171 and 43232, that added together give a triangular number (921403 = T₁₃₅₇).

The spelling of 87817143232 in words is "eighty-seven billion, eight hundred seventeen million, one hundred forty-three thousand, two hundred thirty-two".