71420571360 has 576 divisors, whose sum is σ = 278036478720. Its totient is φ = 16582164480.

The previous prime is 71420571347. The next prime is 71420571361. The reversal of 71420571360 is 6317502417.

It is a happy number.

71420571360 is a `hidden beast` number, since 7 + 1 + 4 + 20 + 571 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71420571361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19998375 + ... + 20001945.

It is an arithmetic number, because the mean of its divisors is an integer number (482702220).

Almost surely, 2^71420571360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71420571360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139018239360).

71420571360 is an abundant number, since it is smaller than the sum of its proper divisors (206615907360).

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

71420571360 is a wasteful number, since it uses less digits than its factorization.

71420571360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

It can be divided in two parts, 7142057 and 1360, that added together give a palindrome (7143417).

The spelling of 71420571360 in words is "seventy-one billion, four hundred twenty million, five hundred seventy-one thousand, three hundred sixty".