85654466352 has 480 divisors, whose sum is σ = 321296102400. Its totient is φ = 20661516288.

The previous prime is 85654466321. The next prime is 85654466353. The reversal of 85654466352 is 25366445658.

85654466352 is a `hidden beast` number, since 8 + 5 + 6 + 544 + 66 + 35 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (85654466353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7214373 + ... + 7226235.

It is an arithmetic number, because the mean of its divisors is an integer number (669366880).

Almost surely, 2^85654466352 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 85654466352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160648051200).

85654466352 is an abundant number, since it is smaller than the sum of its proper divisors (235641636048).

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

85654466352 is a wasteful number, since it uses less digits than its factorization.

85654466352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11936 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 85654466352 in words is "eighty-five billion, six hundred fifty-four million, four hundred sixty-six thousand, three hundred fifty-two".