272820800560 has 480 divisors, whose sum is σ = 820747468800. Its totient is φ = 84235092480.

The previous prime is 272820800543. The next prime is 272820800627. The reversal of 272820800560 is 65008028272.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421670157 + ... + 421670803.

It is an arithmetic number, because the mean of its divisors is an integer number (1709890560).

Almost surely, 2^272820800560 is an apocalyptic number.

272820800560 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 272820800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410373734400).

272820800560 is an abundant number, since it is smaller than the sum of its proper divisors (547926668240).

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

272820800560 is a wasteful number, since it uses less digits than its factorization.

272820800560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 272820800560 in words is "two hundred seventy-two billion, eight hundred twenty million, eight hundred thousand, five hundred sixty".