272106946560 has 256 divisors, whose sum is σ = 916588238400. Its totient is φ = 68740448256.

The previous prime is 272106946511. The next prime is 272106946567. The reversal of 272106946560 is 65649601272.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (272106946567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9324312 + ... + 9353448.

Almost surely, 2^272106946560 is an apocalyptic number.

272106946560 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 272106946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458294119200).

272106946560 is an abundant number, since it is smaller than the sum of its proper divisors (644481291840).

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

272106946560 is an equidigital number, since it uses as much as digits as its factorization.

272106946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29194 (or 29166 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 272106946560 in words is "two hundred seventy-two billion, one hundred six million, nine hundred forty-six thousand, five hundred sixty".