71983253422080 has 2944 divisors, whose sum is σ = 346346121461760. Its totient is φ = 13698261319680.

The previous prime is 71983253422079. The next prime is 71983253422081. The reversal of 71983253422080 is 8022435238917.

71983253422080 is a `hidden beast` number, since 7 + 1 + 9 + 8 + 3 + 2 + 534 + 2 + 20 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (71983253422079) and next prime (71983253422081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71983253422081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566797270977 + ... + 566797271103.

Almost surely, 2^{71983253422080} is an apocalyptic number.

71983253422080 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 71983253422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173173060730880).

71983253422080 is an abundant number, since it is smaller than the sum of its proper divisors (274362868039680).

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

71983253422080 is an equidigital number, since it uses as much as digits as its factorization.

71983253422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 71983253422080 in words is "seventy-one trillion, nine hundred eighty-three billion, two hundred fifty-three million, four hundred twenty-two thousand, eighty".