87720958416 has 320 divisors, whose sum is σ = 290228535296. Its totient is φ = 22208256000.

The previous prime is 87720958379. The next prime is 87720958417. The reversal of 87720958416 is 61485902778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87720958417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17194266 + ... + 17199366.

Almost surely, 2^87720958416 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 87720958416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145114267648).

87720958416 is an abundant number, since it is smaller than the sum of its proper divisors (202507576880).

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

87720958416 is a wasteful number, since it uses less digits than its factorization.

87720958416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 87720958416 in words is "eighty-seven billion, seven hundred twenty million, nine hundred fifty-eight thousand, four hundred sixteen".