71555356164096 has 3024 divisors, whose sum is σ = 282213003623040. Its totient is φ = 17978967982080.

The previous prime is 71555356164077. The next prime is 71555356164119. The reversal of 71555356164096 is 69046165355517.

It is a happy number.

71555356164096 is a `hidden beast` number, since 7 + 1 + 5 + 5 + 5 + 3 + 5 + 616 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2308237295601 + ... + 2308237295631.

It is an arithmetic number, because the mean of its divisors is an integer number (93324405960).

Almost surely, 2^{71555356164096} 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 71555356164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141106501811520).

71555356164096 is an abundant number, since it is smaller than the sum of its proper divisors (210657647458944).

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

71555356164096 is an frugal number, since it uses more digits than its factorization.

71555356164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 71555356164096 in words is "seventy-one trillion, five hundred fifty-five billion, three hundred fifty-six million, one hundred sixty-four thousand, ninety-six".