71484298865280 has 1024 divisors, whose sum is σ = 298134924595200. Its totient is φ = 15845577965568.

The previous prime is 71484298865269. The next prime is 71484298865383. The reversal of 71484298865280 is 8256889248417.

71484298865280 is a `hidden beast` number, since 7 + 1 + 4 + 8 + 4 + 2 + 98 + 8 + 6 + 528 + 0 = 666.

It is a super-2 number, since 2×71484298865280² (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 a junction number, because it is equal to n+sod(n) for n = 71484298865199 and 71484298865208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1373958627 + ... + 1374010653.

It is an arithmetic number, because the mean of its divisors is an integer number (291147387300).

Almost surely, 2^{71484298865280} is an apocalyptic number.

71484298865280 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 71484298865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149067462297600).

71484298865280 is an abundant number, since it is smaller than the sum of its proper divisors (226650625729920).

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

71484298865280 is a wasteful number, since it uses less digits than its factorization.

71484298865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52406 (or 52388 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 71484298865280 in words is "seventy-one trillion, four hundred eighty-four billion, two hundred ninety-eight million, eight hundred sixty-five thousand, two hundred eighty".