71578358380800 has 1296 divisors, whose sum is σ = 272326655881280. Its totient is φ = 18590975262720.

The previous prime is 71578358380723. The next prime is 71578358380807. The reversal of 71578358380800 is 808385387517.

71578358380800 is a `hidden beast` number, since 7 + 1 + 57 + 83 + 58 + 380 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×71578358380800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71578358380807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27351301092 + ... + 27351303708.

Almost surely, 2^{71578358380800} 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 71578358380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136163327940640).

71578358380800 is an abundant number, since it is smaller than the sum of its proper divisors (200748297500480).

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

71578358380800 is a wasteful number, since it uses less digits than its factorization.

71578358380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 71578358380800 in words is "seventy-one trillion, five hundred seventy-eight billion, three hundred fifty-eight million, three hundred eighty thousand, eight hundred".