87120976896 has 440 divisors, whose sum is σ = 269416085136. Its totient is φ = 28028436480.

The previous prime is 87120976871. The next prime is 87120976913. The reversal of 87120976896 is 69867902178.

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 39 ways as a sum of consecutive naturals, for example, 338992000 + ... + 338992256.

Almost surely, 2^87120976896 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 87120976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134708042568).

87120976896 is an abundant number, since it is smaller than the sum of its proper divisors (182295108240).

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

87120976896 is a wasteful number, since it uses less digits than its factorization.

87120976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 87120976896 in words is "eighty-seven billion, one hundred twenty million, nine hundred seventy-six thousand, eight hundred ninety-six".