71439550560 has 672 divisors, whose sum is σ = 294297857280. Its totient is φ = 16041452544.

The previous prime is 71439550549. The next prime is 71439550573. The reversal of 71439550560 is 6505593417.

71439550560 is a `hidden beast` number, since 7 + 1 + 4 + 39 + 5 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48171579 + ... + 48173061.

It is an arithmetic number, because the mean of its divisors is an integer number (437943240).

Almost surely, 2^71439550560 is an apocalyptic number.

71439550560 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 71439550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147148928640).

71439550560 is an abundant number, since it is smaller than the sum of its proper divisors (222858306720).

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

71439550560 is a wasteful number, since it uses less digits than its factorization.

71439550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 71439550560 in words is "seventy-one billion, four hundred thirty-nine million, five hundred fifty thousand, five hundred sixty".