172375283520 has 1680 divisors, whose sum is σ = 739009356624. Its totient is φ = 37955174400.

The previous prime is 172375283513. The next prime is 172375283533. The reversal of 172375283520 is 25382573271.

172375283520 is a `hidden beast` number, since 1 + 72 + 3 + 7 + 52 + 8 + 3 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2110116096 + 170265167424 = 45936^2 + 412632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2825824290 + ... + 2825824350.

Almost surely, 2^172375283520 is an apocalyptic number.

172375283520 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 172375283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369504678312).

172375283520 is an abundant number, since it is smaller than the sum of its proper divisors (566634073104).

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

172375283520 is a wasteful number, since it uses less digits than its factorization.

172375283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 172375283520 in words is "one hundred seventy-two billion, three hundred seventy-five million, two hundred eighty-three thousand, five hundred twenty".