172112519355840 has 1792 divisors, whose sum is σ = 719201437286400. Its totient is φ = 37927538786304.

The previous prime is 172112519355809. The next prime is 172112519355883. The reversal of 172112519355840 is 48553915211271.

172112519355840 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 1 + 2 + 51 + 9 + 3 + 5 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 158337183777 + ... + 158337184863.

Almost surely, 2^{172112519355840} is an apocalyptic number.

172112519355840 is a gapful number since it is divisible by the number (10) 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 172112519355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359600718643200).

172112519355840 is an abundant number, since it is smaller than the sum of its proper divisors (547088917930560).

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

172112519355840 is a wasteful number, since it uses less digits than its factorization.

172112519355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 172112519355840 in words is "one hundred seventy-two trillion, one hundred twelve billion, five hundred nineteen million, three hundred fifty-five thousand, eight hundred forty".