172145859600 has 960 divisors, whose sum is σ = 700865141760. Its totient is φ = 35483443200.

The previous prime is 172145859553. The next prime is 172145859601. The reversal of 172145859600 is 6958541271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 172145859600.

It is not an unprimeable number, because it can be changed into a prime (172145859601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120634087 + ... + 120635513.

It is an arithmetic number, because the mean of its divisors is an integer number (730067856).

Almost surely, 2^172145859600 is an apocalyptic number.

172145859600 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 172145859600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350432570880).

172145859600 is an abundant number, since it is smaller than the sum of its proper divisors (528719282160).

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

172145859600 is a wasteful number, since it uses less digits than its factorization.

172145859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 172145859600 in words is "one hundred seventy-two billion, one hundred forty-five million, eight hundred fifty-nine thousand, six hundred".