71653825457280 has 576 divisors, whose sum is σ = 276577877721600. Its totient is φ = 17076197191680.

The previous prime is 71653825457173. The next prime is 71653825457281. The reversal of 71653825457280 is 8275452835617.

71653825457280 is a `hidden beast` number, since 7 + 1 + 6 + 5 + 3 + 8 + 2 + 54 + 572 + 8 + 0 = 666.

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

It is a super-2 number, since 2×71653825457280² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71653825457281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40249377 + ... + 41991903.

It is an arithmetic number, because the mean of its divisors is an integer number (480169926600).

Almost surely, 2^{71653825457280} 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 71653825457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138288938860800).

71653825457280 is an abundant number, since it is smaller than the sum of its proper divisors (204924052264320).

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

71653825457280 is a wasteful number, since it uses less digits than its factorization.

71653825457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742633 (or 1742607 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 71653825457280 in words is "seventy-one trillion, six hundred fifty-three billion, eight hundred twenty-five million, four hundred fifty-seven thousand, two hundred eighty".