71848359898560 has 5376 divisors, whose sum is σ = 343118227046400. Its totient is φ = 13398059778048.

The previous prime is 71848359898559. The next prime is 71848359898589. The reversal of 71848359898560 is 6589895384817.

71848359898560 is a `hidden beast` number, since 7 + 1 + 8 + 48 + 3 + 5 + 9 + 8 + 9 + 8 + 560 = 666.

It is a super-2 number, since 2×71848359898560² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71848359898560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 415308438634 + ... + 415308438806.

Almost surely, 2^{71848359898560} is an apocalyptic number.

71848359898560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71848359898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171559113523200).

71848359898560 is an abundant number, since it is smaller than the sum of its proper divisors (271269867147840).

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

71848359898560 is a wasteful number, since it uses less digits than its factorization.

71848359898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 71848359898560 in words is "seventy-one trillion, eight hundred forty-eight billion, three hundred fifty-nine million, eight hundred ninety-eight thousand, five hundred sixty".