87254444160 has 640 divisors, whose sum is σ = 343488720960. Its totient is φ = 20971560960.

The previous prime is 87254444141. The next prime is 87254444209. The reversal of 87254444160 is 6144445278.

87254444160 is a `hidden beast` number, since 8 + 7 + 2 + 544 + 4 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×87254444160³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 28977055 + ... + 28980065.

Almost surely, 2^87254444160 is an apocalyptic number.

87254444160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87254444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171744360480).

87254444160 is an abundant number, since it is smaller than the sum of its proper divisors (256234276800).

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

87254444160 is a wasteful number, since it uses less digits than its factorization.

87254444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 87254444160 in words is "eighty-seven billion, two hundred fifty-four million, four hundred forty-four thousand, one hundred sixty".