271153147968 has 224 divisors, whose sum is σ = 808293024000. Its totient is φ = 90237556224.

The previous prime is 271153147927. The next prime is 271153147981. The reversal of 271153147968 is 869741351172.

271153147968 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 531 + 47 + 9 + 68 = 666.

It is a super-2 number, since 2×271153147968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117431998 + ... + 117434306.

It is an arithmetic number, because the mean of its divisors is an integer number (3608451000).

Almost surely, 2^271153147968 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 271153147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404146512000).

271153147968 is an abundant number, since it is smaller than the sum of its proper divisors (537139876032).

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

271153147968 is an frugal number, since it uses more digits than its factorization.

271153147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3153 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 271153147968 in words is "two hundred seventy-one billion, one hundred fifty-three million, one hundred forty-seven thousand, nine hundred sixty-eight".