71982421580160 has 4032 divisors, whose sum is σ = 336034608255360. Its totient is φ = 14673125376000.

The previous prime is 71982421580137. The next prime is 71982421580183. The reversal of 71982421580160 is 6108512428917.

71982421580160 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 2 + 42 + 1 + 580 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71982421580137) and next prime (71982421580183).

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a junction number, because it is equal to n+sod(n) for n = 71982421580097 and 71982421580106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 119771083860 + ... + 119771084460.

It is an arithmetic number, because the mean of its divisors is an integer number (83341916730).

Almost surely, 2^{71982421580160} is an apocalyptic number.

71982421580160 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 71982421580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168017304127680).

71982421580160 is an abundant number, since it is smaller than the sum of its proper divisors (264052186675200).

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

71982421580160 is a wasteful number, since it uses less digits than its factorization.

71982421580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 662 counting only the distinct ones).

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

The spelling of 71982421580160 in words is "seventy-one trillion, nine hundred eighty-two billion, four hundred twenty-one million, five hundred eighty thousand, one hundred sixty".