271861379951616 has 1584 divisors, whose sum is σ = 1073507734440960. Its totient is φ = 67925283471360.

The previous prime is 271861379951569. The next prime is 271861379951671. The reversal of 271861379951616 is 616159973168172.

271861379951616 is a `hidden beast` number, since 2 + 7 + 1 + 8 + 6 + 1 + 3 + 7 + 99 + 516 + 16 = 666.

It is a super-2 number, since 2×271861379951616² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3011568561 + ... + 3011658831.

Almost surely, 2^{271861379951616} is an apocalyptic number.

271861379951616 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 271861379951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536753867220480).

271861379951616 is an abundant number, since it is smaller than the sum of its proper divisors (801646354489344).

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

271861379951616 is a wasteful number, since it uses less digits than its factorization.

271861379951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90352 (or 90315 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 271861379951616 in words is "two hundred seventy-one trillion, eight hundred sixty-one billion, three hundred seventy-nine million, nine hundred fifty-one thousand, six hundred sixteen".