172742890095360 has 864 divisors, whose sum is σ = 656118402121728. Its totient is φ = 41698244689920.

The previous prime is 172742890095353. The next prime is 172742890095379. The reversal of 172742890095360 is 63590098247271.

172742890095360 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 4 + 2 + 8 + 90 + 0 + 9 + 536 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21089348865 + ... + 21089357055.

It is an arithmetic number, because the mean of its divisors is an integer number (759396298752).

It is a 1-persistent number, because it is pandigital, but 2⋅172742890095360 = 345485780190720 is not.

Almost surely, 2^{172742890095360} is an apocalyptic number.

172742890095360 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 172742890095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328059201060864).

172742890095360 is an abundant number, since it is smaller than the sum of its proper divisors (483375512026368).

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

172742890095360 is a wasteful number, since it uses less digits than its factorization.

172742890095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 172742890095360 in words is "one hundred seventy-two trillion, seven hundred forty-two billion, eight hundred ninety million, ninety-five thousand, three hundred sixty".