85587240960 has 288 divisors, whose sum is σ = 319452162120. Its totient is φ = 21067333632.

The previous prime is 85587240919. The next prime is 85587240967. The reversal of 85587240960 is 6904278558.

85587240960 is a `hidden beast` number, since 8 + 558 + 7 + 24 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64768214016 + 20819026944 = 254496^2 + 144288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 85587240897 and 85587240906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85587240967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162362 + ... + 1233798.

Almost surely, 2^85587240960 is an apocalyptic number.

85587240960 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 85587240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159726081060).

85587240960 is an abundant number, since it is smaller than the sum of its proper divisors (233864921160).

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

85587240960 is a wasteful number, since it uses less digits than its factorization.

85587240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71483 (or 71460 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85587240960 in words is "eighty-five billion, five hundred eighty-seven million, two hundred forty thousand, nine hundred sixty".