5071532590080 has 1584 divisors, whose sum is σ = 20475853961472. Its totient is φ = 1157362483200.

The previous prime is 5071532590063. The next prime is 5071532590127. The reversal of 5071532590080 is 800952351705.

5071532590080 is a `hidden beast` number, since 5 + 0 + 7 + 1 + 53 + 2 + 590 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 9105085162 + ... + 9105085718.

Almost surely, 2^{5071532590080} 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 5071532590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237926980736).

5071532590080 is an abundant number, since it is smaller than the sum of its proper divisors (15404321371392).

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

5071532590080 is a wasteful number, since it uses less digits than its factorization.

5071532590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5071532590080 in words is "five trillion, seventy-one billion, five hundred thirty-two million, five hundred ninety thousand, eighty".