172961729740800 has 7776 divisors, whose sum is σ = 906432478608384. Its totient is φ = 32105299968000.

The previous prime is 172961729740777. The next prime is 172961729740867. The reversal of 172961729740800 is 8047927169271.

172961729740800 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 617 + 2 + 9 + 7 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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 431 ways as a sum of consecutive naturals, for example, 5579410636785 + ... + 5579410636815.

It is an arithmetic number, because the mean of its divisors is an integer number (116567962784).

Almost surely, 2^{172961729740800} is an apocalyptic number.

172961729740800 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 172961729740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453216239304192).

172961729740800 is an abundant number, since it is smaller than the sum of its proper divisors (733470748867584).

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

172961729740800 is an equidigital number, since it uses as much as digits as its factorization.

172961729740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 172961729740800 in words is "one hundred seventy-two trillion, nine hundred sixty-one billion, seven hundred twenty-nine million, seven hundred forty thousand, eight hundred".