85955172732 has 240 divisors, whose sum is σ = 264891403392. Its totient is φ = 23961121920.

The previous prime is 85955172701. The next prime is 85955172733. The reversal of 85955172732 is 23727155958.

85955172732 is a `hidden beast` number, since 8 + 5 + 95 + 517 + 2 + 7 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85955172733) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14220903 + ... + 14226945.

Almost surely, 2^85955172732 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 85955172732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132445701696).

85955172732 is an abundant number, since it is smaller than the sum of its proper divisors (178936230660).

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

85955172732 is a wasteful number, since it uses less digits than its factorization.

85955172732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6379 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 85955172732 in words is "eighty-five billion, nine hundred fifty-five million, one hundred seventy-two thousand, seven hundred thirty-two".