5801020477560 has 2560 divisors, whose sum is σ = 27307060070400. Its totient is φ = 1066354606080.

The previous prime is 5801020477537. The next prime is 5801020477639. The reversal of 5801020477560 is 657740201085.

5801020477560 is a `hidden beast` number, since 5 + 8 + 0 + 10 + 2 + 0 + 4 + 77 + 560 = 666.

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 639 ways as a sum of consecutive naturals, for example, 15552333534 + ... + 15552333906.

It is an arithmetic number, because the mean of its divisors is an integer number (10666820340).

Almost surely, 2^{5801020477560} 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 5801020477560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653530035200).

5801020477560 is an abundant number, since it is smaller than the sum of its proper divisors (21506039592840).

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

5801020477560 is a wasteful number, since it uses less digits than its factorization.

5801020477560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 5801020477560 in words is "five trillion, eight hundred one billion, twenty million, four hundred seventy-seven thousand, five hundred sixty".