172004258764800 has 6912 divisors, whose sum is σ = 874249944422400. Its totient is φ = 32640388300800.

The previous prime is 172004258764777. The next prime is 172004258764823. The reversal of 172004258764800 is 8467852400271.

172004258764800 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 0 + 42 + 58 + 76 + 480 + 0 = 666.

172004258764800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172004258764777) and next prime (172004258764823).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 468676454217 + ... + 468676454583.

It is an arithmetic number, because the mean of its divisors is an integer number (126482920200).

Almost surely, 2^{172004258764800} is an apocalyptic number.

172004258764800 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 172004258764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437124972211200).

172004258764800 is an abundant number, since it is smaller than the sum of its proper divisors (702245685657600).

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

172004258764800 is a wasteful number, since it uses less digits than its factorization.

172004258764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 172004258764800 in words is "one hundred seventy-two trillion, four billion, two hundred fifty-eight million, seven hundred sixty-four thousand, eight hundred".