87176567296 has 480 divisors, whose sum is σ = 232585613568. Its totient is φ = 31770869760.

The previous prime is 87176567287. The next prime is 87176567327. The reversal of 87176567296 is 69276567178.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194199516 + ... + 1194199588.

Almost surely, 2^87176567296 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 87176567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116292806784).

87176567296 is an abundant number, since it is smaller than the sum of its proper divisors (145409046272).

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

87176567296 is a wasteful number, since it uses less digits than its factorization.

87176567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 64.

The spelling of 87176567296 in words is "eighty-seven billion, one hundred seventy-six million, five hundred sixty-seven thousand, two hundred ninety-six".