272912541696 has 576 divisors, whose sum is σ = 863940168000. Its totient is φ = 82705121280.

The previous prime is 272912541653. The next prime is 272912541701. The reversal of 272912541696 is 696145219272.

It is a happy number.

272912541696 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 1 + 2 + 541 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191757710 + ... + 1191757938.

It is an arithmetic number, because the mean of its divisors is an integer number (1499896125).

Almost surely, 2^272912541696 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 272912541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431970084000).

272912541696 is an abundant number, since it is smaller than the sum of its proper divisors (591027626304).

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

272912541696 is a wasteful number, since it uses less digits than its factorization.

272912541696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 272912541696 in words is "two hundred seventy-two billion, nine hundred twelve million, five hundred forty-one thousand, six hundred ninety-six".