71606198873088 has 1056 divisors, whose sum is σ = 238998366028800. Its totient is φ = 21000137932800.

The previous prime is 71606198872963. The next prime is 71606198873089. The reversal of 71606198873088 is 88037889160617.

71606198873088 is a `hidden beast` number, since 7 + 1 + 606 + 1 + 9 + 8 + 8 + 7 + 3 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×71606198873088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (71606198873089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67489348078 + ... + 67489349138.

Almost surely, 2^{71606198873088} 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 71606198873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119499183014400).

71606198873088 is an abundant number, since it is smaller than the sum of its proper divisors (167392167155712).

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

71606198873088 is a wasteful number, since it uses less digits than its factorization.

71606198873088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 71606198873088 in words is "seventy-one trillion, six hundred six billion, one hundred ninety-eight million, eight hundred seventy-three thousand, eighty-eight".