71560478989440 has 1024 divisors, whose sum is σ = 295995024000000. Its totient is φ = 16332651675648.

The previous prime is 71560478989429. The next prime is 71560478989477. The reversal of 71560478989440 is 4498987406517.

71560478989440 is a `hidden beast` number, since 7 + 1 + 5 + 60 + 47 + 8 + 9 + 89 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4202262846 + ... + 4202279874.

It is an arithmetic number, because the mean of its divisors is an integer number (289057640625).

Almost surely, 2^{71560478989440} is an apocalyptic number.

71560478989440 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 71560478989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147997512000000).

71560478989440 is an abundant number, since it is smaller than the sum of its proper divisors (224434545010560).

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

71560478989440 is a wasteful number, since it uses less digits than its factorization.

71560478989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17787 (or 17755 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 71560478989440 in words is "seventy-one trillion, five hundred sixty billion, four hundred seventy-eight million, nine hundred eighty-nine thousand, four hundred forty".