87121916928 has 352 divisors, whose sum is σ = 268769462400. Its totient is φ = 27844411392.

The previous prime is 87121916879. The next prime is 87121916939. The reversal of 87121916928 is 82961912178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154745575 + ... + 154746137.

Almost surely, 2^87121916928 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 87121916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134384731200).

87121916928 is an abundant number, since it is smaller than the sum of its proper divisors (181647545472).

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

87121916928 is a wasteful number, since it uses less digits than its factorization.

87121916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 790 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 87121916928 in words is "eighty-seven billion, one hundred twenty-one million, nine hundred sixteen thousand, nine hundred twenty-eight".