172485241344000 has 2496 divisors, whose sum is σ = 709509211407360. Its totient is φ = 41536231833600.

The previous prime is 172485241343999. The next prime is 172485241344011. The reversal of 172485241344000 is 443142584271.

172485241344000 is a `hidden beast` number, since 1 + 72 + 4 + 8 + 524 + 13 + 4 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76018174866 + ... + 76018177134.

It is an arithmetic number, because the mean of its divisors is an integer number (284258498160).

Almost surely, 2^{172485241344000} is an apocalyptic number.

172485241344000 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 172485241344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354754605703680).

172485241344000 is an abundant number, since it is smaller than the sum of its proper divisors (537023970063360).

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

172485241344000 is an equidigital number, since it uses as much as digits as its factorization.

172485241344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 172485241344000 in words is "one hundred seventy-two trillion, four hundred eighty-five billion, two hundred forty-one million, three hundred forty-four thousand".