272749977916416 has 1584 divisors, whose sum is σ = 1094244078159232. Its totient is φ = 63626302586880.

The previous prime is 272749977916387. The next prime is 272749977916421. The reversal of 272749977916416 is 614619779947272.

272749977916416 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 49 + 9 + 77 + 91 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3754626591 + ... + 3754699233.

Almost surely, 2^{272749977916416} is an apocalyptic number.

272749977916416 is a gapful number since it is divisible by the number (26) 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 272749977916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547122039079616).

272749977916416 is an abundant number, since it is smaller than the sum of its proper divisors (821494100242816).

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

272749977916416 is a wasteful number, since it uses less digits than its factorization.

272749977916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72748 (or 72716 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 81.

The spelling of 272749977916416 in words is "two hundred seventy-two trillion, seven hundred forty-nine billion, nine hundred seventy-seven million, nine hundred sixteen thousand, four hundred sixteen".