172243501056 has 960 divisors, whose sum is σ = 619060377600. Its totient is φ = 47297986560.

The previous prime is 172243501043. The next prime is 172243501069. The reversal of 172243501056 is 650105342271.

172243501056 is a `hidden beast` number, since 172 + 2 + 435 + 0 + 1 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (172243501043) and next prime (172243501069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172243501056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7488847861 + ... + 7488847883.

It is an arithmetic number, because the mean of its divisors is an integer number (644854560).

Almost surely, 2^172243501056 is an apocalyptic number.

172243501056 is a gapful number since it is divisible by the number (16) 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 172243501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309530188800).

172243501056 is an abundant number, since it is smaller than the sum of its proper divisors (446816876544).

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

172243501056 is an frugal number, since it uses more digits than its factorization.

172243501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 172243501056 in words is "one hundred seventy-two billion, two hundred forty-three million, five hundred one thousand, fifty-six".