71425829704320 has 2560 divisors, whose sum is σ = 325043588136960. Its totient is φ = 14539950489600.

The previous prime is 71425829704283. The next prime is 71425829704367. The reversal of 71425829704320 is 2340792852417.

71425829704320 is a `hidden beast` number, since 7 + 1 + 4 + 25 + 8 + 297 + 0 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 73559041435 + ... + 73559042405.

It is an arithmetic number, because the mean of its divisors is an integer number (126970151616).

Almost surely, 2^{71425829704320} is an apocalyptic number.

71425829704320 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 71425829704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162521794068480).

71425829704320 is an abundant number, since it is smaller than the sum of its proper divisors (253617758432640).

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

71425829704320 is a wasteful number, since it uses less digits than its factorization.

71425829704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 71425829704320 in words is "seventy-one trillion, four hundred twenty-five billion, eight hundred twenty-nine million, seven hundred four thousand, three hundred twenty".