71825361688080 has 5760 divisors, whose sum is σ = 355778828697600. Its totient is φ = 13181357629440.

The previous prime is 71825361687931. The next prime is 71825361688151. The reversal of 71825361688080 is 8088616352817.

71825361688080 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 5 + 3 + 616 + 8 + 8 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×71825361688080³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 71825361687999 and 71825361688017.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 565554028977 + ... + 565554029103.

It is an arithmetic number, because the mean of its divisors is an integer number (61767157760).

Almost surely, 2^{71825361688080} is an apocalyptic number.

71825361688080 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 71825361688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177889414348800).

71825361688080 is an abundant number, since it is smaller than the sum of its proper divisors (283953467009520).

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

71825361688080 is a wasteful number, since it uses less digits than its factorization.

71825361688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 71825361688080 in words is "seventy-one trillion, eight hundred twenty-five billion, three hundred sixty-one million, six hundred eighty-eight thousand, eighty".