272551985340096 has 672 divisors, whose sum is σ = 972307686470400. Its totient is φ = 66628321320960.

The previous prime is 272551985340083. The next prime is 272551985340259. The reversal of 272551985340096 is 690043589155272.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508168515 + ... + 508704573.

It is an arithmetic number, because the mean of its divisors is an integer number (1446886438200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅272551985340096 = 545103970680192, but 3⋅272551985340096 = 817655956020288 is not.

Almost surely, 2^{272551985340096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272551985340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486153843235200).

272551985340096 is an abundant number, since it is smaller than the sum of its proper divisors (699755701130304).

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

272551985340096 is a wasteful number, since it uses less digits than its factorization.

272551985340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536150 (or 536099 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 66.

The spelling of 272551985340096 in words is "two hundred seventy-two trillion, five hundred fifty-one billion, nine hundred eighty-five million, three hundred forty thousand, ninety-six".