272116680000 has 560 divisors, whose sum is σ = 1024257332736. Its totient is φ = 63092480000.

The previous prime is 272116679981. The next prime is 272116680001. The reversal of 272116680000 is 86611272.

272116680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×272116680000⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272116680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30355519 + ... + 30364481.

Almost surely, 2^272116680000 is an apocalyptic number.

272116680000 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 272116680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512128666368).

272116680000 is an abundant number, since it is smaller than the sum of its proper divisors (752140652736).

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

272116680000 is a wasteful number, since it uses less digits than its factorization.

272116680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 272116680000 in words is "two hundred seventy-two billion, one hundred sixteen million, six hundred eighty thousand".