71098542720 has 512 divisors, whose sum is σ = 257598144000. Its totient is φ = 18529026048.

The previous prime is 71098542719. The next prime is 71098542721. The reversal of 71098542720 is 2724589017.

It is a happy number.

71098542720 is a `hidden beast` number, since 7 + 10 + 98 + 542 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71098542719) and next prime (71098542721).

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

It is not an unprimeable number, because it can be changed into a prime (71098542721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198045901 + ... + 198046259.

It is an arithmetic number, because the mean of its divisors is an integer number (503121375).

Almost surely, 2^71098542720 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 71098542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128799072000).

71098542720 is an abundant number, since it is smaller than the sum of its proper divisors (186499601280).

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

71098542720 is a wasteful number, since it uses less digits than its factorization.

71098542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 71098542720 in words is "seventy-one billion, ninety-eight million, five hundred forty-two thousand, seven hundred twenty".