172953885312 has 448 divisors, whose sum is σ = 580619088000. Its totient is φ = 50894604288.

The previous prime is 172953885277. The next prime is 172953885329. The reversal of 172953885312 is 213588359271.

172953885312 is a `hidden beast` number, since 1 + 7 + 29 + 5 + 3 + 88 + 531 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27897189 + ... + 27903387.

It is an arithmetic number, because the mean of its divisors is an integer number (1296024750).

Almost surely, 2^172953885312 is an apocalyptic number.

172953885312 is a gapful number since it is divisible by the number (12) 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 172953885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290309544000).

172953885312 is an abundant number, since it is smaller than the sum of its proper divisors (407665202688).

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

172953885312 is an equidigital number, since it uses as much as digits as its factorization.

172953885312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6240 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 172953885312 in words is "one hundred seventy-two billion, nine hundred fifty-three million, eight hundred eighty-five thousand, three hundred twelve".