71027858652660 has 3456 divisors, whose sum is σ = 304620040617984. Its totient is φ = 13510562365440.

The previous prime is 71027858652623. The next prime is 71027858652671. The reversal of 71027858652660 is 6625685872017.

71027858652660 is a `hidden beast` number, since 7 + 1 + 0 + 27 + 8 + 5 + 86 + 526 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 1151 ways as a sum of consecutive naturals, for example, 559274477517 + ... + 559274477643.

It is an arithmetic number, because the mean of its divisors is an integer number (88142372864).

Almost surely, 2^{71027858652660} is an apocalyptic number.

71027858652660 is a gapful number since it is divisible by the number (70) 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 71027858652660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152310020308992).

71027858652660 is an abundant number, since it is smaller than the sum of its proper divisors (233592181965324).

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

71027858652660 is a wasteful number, since it uses less digits than its factorization.

71027858652660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 71027858652660 in words is "seventy-one trillion, twenty-seven billion, eight hundred fifty-eight million, six hundred fifty-two thousand, six hundred sixty".