272866286880 has 1152 divisors, whose sum is σ = 1105013145600. Its totient is φ = 61120604160.

The previous prime is 272866286879. The next prime is 272866286881. The reversal of 272866286880 is 88682668272.

272866286880 is a `hidden beast` number, since 272 + 8 + 6 + 6 + 286 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (272866286879) and next prime (272866286881).

It is not an unprimeable number, because it can be changed into a prime (272866286881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2148553377 + ... + 2148553503.

It is an arithmetic number, because the mean of its divisors is an integer number (959212800).

Almost surely, 2^272866286880 is an apocalyptic number.

272866286880 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 272866286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552506572800).

272866286880 is an abundant number, since it is smaller than the sum of its proper divisors (832146858720).

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

272866286880 is a wasteful number, since it uses less digits than its factorization.

272866286880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 272866286880 in words is "two hundred seventy-two billion, eight hundred sixty-six million, two hundred eighty-six thousand, eight hundred eighty".