71496898560 has 576 divisors, whose sum is σ = 261865094400. Its totient is φ = 18704203776.

The previous prime is 71496898531. The next prime is 71496898567. The reversal of 71496898560 is 6589869417.

71496898560 is a `hidden beast` number, since 7 + 1 + 4 + 9 + 68 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×71496898560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71496898567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146810637 + ... + 146811123.

It is an arithmetic number, because the mean of its divisors is an integer number (454626900).

Almost surely, 2^71496898560 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 71496898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130932547200).

71496898560 is an abundant number, since it is smaller than the sum of its proper divisors (190368195840).

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

71496898560 is an equidigital number, since it uses as much as digits as its factorization.

71496898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 71496898560 in words is "seventy-one billion, four hundred ninety-six million, eight hundred ninety-eight thousand, five hundred sixty".