270172046320000 has 640 divisors, whose sum is σ = 739186068741120. Its totient is φ = 97515187200000.

The previous prime is 270172046319953. The next prime is 270172046320097. The reversal of 270172046320000 is 23640271072.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×270172046320000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73197518155 + ... + 73197521845.

It is an arithmetic number, because the mean of its divisors is an integer number (1154978232408).

Almost surely, 2^{270172046320000} is an apocalyptic number.

270172046320000 is a gapful number since it is divisible by the number (20) 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 270172046320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369593034370560).

270172046320000 is an abundant number, since it is smaller than the sum of its proper divisors (469014022421120).

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

270172046320000 is a wasteful number, since it uses less digits than its factorization.

270172046320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

Adding to 270172046320000 its reverse (23640271072), we get a palindrome (270195686591072).

The spelling of 270172046320000 in words is "two hundred seventy trillion, one hundred seventy-two billion, forty-six million, three hundred twenty thousand".