85788654336 has 432 divisors, whose sum is σ = 321953546880. Its totient is φ = 22281799680.

The previous prime is 85788654313. The next prime is 85788654337. The reversal of 85788654336 is 63345688758.

It is a happy number.

85788654336 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 86 + 543 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×85788654336³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85788654337) 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, 3714055 + ... + 3737081.

It is an arithmetic number, because the mean of its divisors is an integer number (745262840).

Almost surely, 2^85788654336 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 85788654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160976773440).

85788654336 is an abundant number, since it is smaller than the sum of its proper divisors (236164892544).

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

85788654336 is a wasteful number, since it uses less digits than its factorization.

85788654336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23077 (or 23050 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 85788654336 in words is "eighty-five billion, seven hundred eighty-eight million, six hundred fifty-four thousand, three hundred thirty-six".