87901141536 has 288 divisors, whose sum is σ = 277962532848. Its totient is φ = 26173808640.

The previous prime is 87901141529. The next prime is 87901141577. The reversal of 87901141536 is 63514110978.

87901141536 is a `hidden beast` number, since 8 + 79 + 0 + 1 + 1 + 41 + 536 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80794651536 + 7106490000 = 284244^2 + 84300^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87901141536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87901141491 and 87901141500.

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, 27288406 + ... + 27291626.

Almost surely, 2^87901141536 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 87901141536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138981266424).

87901141536 is an abundant number, since it is smaller than the sum of its proper divisors (190061391312).

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

87901141536 is a wasteful number, since it uses less digits than its factorization.

87901141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 87901141536 in words is "eighty-seven billion, nine hundred one million, one hundred forty-one thousand, five hundred thirty-six".