71003520000 has 880 divisors, whose sum is σ = 300812709120. Its totient is φ = 16201728000.

The previous prime is 71003519953. The next prime is 71003520001. The reversal of 71003520000 is 2530017.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71003520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959707 + ... + 120960293.

It is an arithmetic number, because the mean of its divisors is an integer number (341832624).

Almost surely, 2^71003520000 is an apocalyptic number.

71003520000 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 71003520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150406354560).

71003520000 is an abundant number, since it is smaller than the sum of its proper divisors (229809189120).

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

71003520000 is an equidigital number, since it uses as much as digits as its factorization.

71003520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The spelling of 71003520000 in words is "seventy-one billion, three million, five hundred twenty thousand".