87200360016 has 240 divisors, whose sum is σ = 288130129920. Its totient is φ = 22470255360.

The previous prime is 87200359999. The next prime is 87200360029. The reversal of 87200360016 is 61006300278.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3272475 + ... + 3299013.

It is an arithmetic number, because the mean of its divisors is an integer number (1200542208).

Almost surely, 2^87200360016 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 87200360016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144065064960).

87200360016 is an abundant number, since it is smaller than the sum of its proper divisors (200929769904).

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

87200360016 is a wasteful number, since it uses less digits than its factorization.

87200360016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26702 (or 26689 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 87200360016 in words is "eighty-seven billion, two hundred million, three hundred sixty thousand, sixteen".