71436110893056 has 2340 divisors, whose sum is σ = 272434324018032. Its totient is φ = 18664215478272.

The previous prime is 71436110893051. The next prime is 71436110893057. The reversal of 71436110893056 is 65039801163417.

71436110893056 is a `hidden beast` number, since 7 + 1 + 436 + 110 + 8 + 93 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 71436110892993 and 71436110893011.

It is not an unprimeable number, because it can be changed into a prime (71436110893051) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 667627204555 + ... + 667627204661.

Almost surely, 2^{71436110893056} 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 71436110893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136217162009016).

71436110893056 is an abundant number, since it is smaller than the sum of its proper divisors (200998213124976).

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

71436110893056 is an frugal number, since it uses more digits than its factorization.

71436110893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 71436110893056 in words is "seventy-one trillion, four hundred thirty-six billion, one hundred ten million, eight hundred ninety-three thousand, fifty-six".