71053811660160 has 1536 divisors, whose sum is σ = 293958593510400. Its totient is φ = 16065191116800.

The previous prime is 71053811660159. The next prime is 71053811660171. The reversal of 71053811660160 is 6106611835017.

71053811660160 is a `hidden beast` number, since 7 + 1 + 0 + 5 + 38 + 1 + 1 + 6 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41576249386 + ... + 41576251094.

It is an arithmetic number, because the mean of its divisors is an integer number (191379292650).

Almost surely, 2^{71053811660160} is an apocalyptic number.

71053811660160 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 71053811660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146979296755200).

71053811660160 is an abundant number, since it is smaller than the sum of its proper divisors (222904781850240).

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

71053811660160 is a wasteful number, since it uses less digits than its factorization.

71053811660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71053811660160 in words is "seventy-one trillion, fifty-three billion, eight hundred eleven million, six hundred sixty thousand, one hundred sixty".