71560368000 has 1152 divisors, whose sum is σ = 297762847200. Its totient is φ = 16879104000.

The previous prime is 71560367993. The next prime is 71560368023. The reversal of 71560368000 is 86306517.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1934063982 + ... + 1934064018.

Almost surely, 2^71560368000 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 71560368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148881423600).

71560368000 is an abundant number, since it is smaller than the sum of its proper divisors (226202479200).

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

71560368000 is a wasteful number, since it uses less digits than its factorization.

71560368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 71560368000 in words is "seventy-one billion, five hundred sixty million, three hundred sixty-eight thousand".