272641389120 has 504 divisors, whose sum is σ = 1011365828928. Its totient is φ = 67284264960.

The previous prime is 272641389113. The next prime is 272641389127. The reversal of 272641389120 is 21983146272.

272641389120 is a `hidden beast` number, since 2 + 7 + 264 + 1 + 389 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (272641389113) and next prime (272641389127).

It is a super-2 number, since 2×272641389120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (272641389127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63654499 + ... + 63658781.

It is an arithmetic number, because the mean of its divisors is an integer number (2006678232).

Almost surely, 2^272641389120 is an apocalyptic number.

272641389120 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 272641389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505682914464).

272641389120 is an abundant number, since it is smaller than the sum of its proper divisors (738724439808).

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

272641389120 is a wasteful number, since it uses less digits than its factorization.

272641389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 272641389120 in words is "two hundred seventy-two billion, six hundred forty-one million, three hundred eighty-nine thousand, one hundred twenty".