71980411645800 has 576 divisors, whose sum is σ = 300835972944000. Its totient is φ = 15049260656640.

The previous prime is 71980411645763. The next prime is 71980411645801. The reversal of 71980411645800 is 854611408917.

71980411645800 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 0 + 41 + 16 + 4 + 580 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (71980411645801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1758634 + ... + 12126566.

It is an arithmetic number, because the mean of its divisors is an integer number (522284675250).

Almost surely, 2^{71980411645800} is an apocalyptic number.

71980411645800 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 71980411645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150417986472000).

71980411645800 is an abundant number, since it is smaller than the sum of its proper divisors (228855561298200).

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

71980411645800 is a wasteful number, since it uses less digits than its factorization.

71980411645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368010 (or 10367998 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 71980411645800 in words is "seventy-one trillion, nine hundred eighty billion, four hundred eleven million, six hundred forty-five thousand, eight hundred".