272980050480 has 400 divisors, whose sum is σ = 982595395584. Its totient is φ = 70165025280.

The previous prime is 272980050479. The next prime is 272980050509. The reversal of 272980050480 is 84050089272.

272980050480 is a `hidden beast` number, since 27 + 29 + 80 + 0 + 50 + 480 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 52828857 + ... + 52834023.

Almost surely, 2^272980050480 is an apocalyptic number.

272980050480 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 272980050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491297697792).

272980050480 is an abundant number, since it is smaller than the sum of its proper divisors (709615345104).

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

272980050480 is a wasteful number, since it uses less digits than its factorization.

272980050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 272980050480 in words is "two hundred seventy-two billion, nine hundred eighty million, fifty thousand, four hundred eighty".