85487540544 has 336 divisors, whose sum is σ = 284539627008. Its totient is φ = 24035042304.

The previous prime is 85487540533. The next prime is 85487540549. The reversal of 85487540544 is 44504578458.

85487540544 is a `hidden beast` number, since 8 + 5 + 48 + 7 + 54 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×85487540544³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85487540549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156284079 + ... + 156284625.

It is an arithmetic number, because the mean of its divisors is an integer number (846844128).

Almost surely, 2^85487540544 is an apocalyptic number.

85487540544 is a gapful number since it is divisible by the number (84) 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 85487540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142269813504).

85487540544 is an abundant number, since it is smaller than the sum of its proper divisors (199052086464).

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

85487540544 is a wasteful number, since it uses less digits than its factorization.

85487540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 85487540544 in words is "eighty-five billion, four hundred eighty-seven million, five hundred forty thousand, five hundred forty-four".