271638152432640 has 880 divisors, whose sum is σ = 1139587881816384. Its totient is φ = 60574334976000.

The previous prime is 271638152432629. The next prime is 271638152432657. The reversal of 271638152432640 is 46234251836172.

271638152432640 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 3 + 81 + 524 + 32 + 6 + 4 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 117883540 + ... + 120165740.

Almost surely, 2^{271638152432640} is an apocalyptic number.

271638152432640 is a gapful number since it is divisible by the number (20) 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 271638152432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569793940908192).

271638152432640 is an abundant number, since it is smaller than the sum of its proper divisors (867949729383744).

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

271638152432640 is a wasteful number, since it uses less digits than its factorization.

271638152432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282286 (or 2282259 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 271638152432640 in words is "two hundred seventy-one trillion, six hundred thirty-eight billion, one hundred fifty-two million, four hundred thirty-two thousand, six hundred forty".