272089388487168 has 2400 divisors, whose sum is σ = 1016612944512000. Its totient is φ = 70918601048064.

The previous prime is 272089388487127. The next prime is 272089388487193. The reversal of 272089388487168 is 861784883980272.

272089388487168 is a `hidden beast` number, since 2 + 7 + 20 + 89 + 38 + 8 + 487 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 717913953603 + ... + 717913953981.

It is an arithmetic number, because the mean of its divisors is an integer number (423588726880).

Almost surely, 2^{272089388487168} is an apocalyptic number.

272089388487168 is a gapful number since it is divisible by the number (28) 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 272089388487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508306472256000).

272089388487168 is an abundant number, since it is smaller than the sum of its proper divisors (744523556024832).

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

272089388487168 is a wasteful number, since it uses less digits than its factorization.

272089388487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 272089388487168 in words is "two hundred seventy-two trillion, eighty-nine billion, three hundred eighty-eight million, four hundred eighty-seven thousand, one hundred sixty-eight".