172428148085760 has 2112 divisors, whose sum is σ = 718592646320640. Its totient is φ = 38832124723200.

The previous prime is 172428148085639. The next prime is 172428148085771. The reversal of 172428148085760 is 67580841824271.

172428148085760 is a `hidden beast` number, since 1 + 7 + 2 + 4 + 2 + 8 + 1 + 480 + 85 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 338758640386 + ... + 338758640894.

Almost surely, 2^{172428148085760} is an apocalyptic number.

172428148085760 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 172428148085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359296323160320).

172428148085760 is an abundant number, since it is smaller than the sum of its proper divisors (546164498234880).

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

172428148085760 is an equidigital number, since it uses as much as digits as its factorization.

172428148085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 172428148085760 in words is "one hundred seventy-two trillion, four hundred twenty-eight billion, one hundred forty-eight million, eighty-five thousand, seven hundred sixty".