5305590800540 has 72 divisors (see below), whose sum is σ = 11515687223040. Its totient is φ = 2053252333440.

The previous prime is 5305590800527. The next prime is 5305590800561. The reversal of 5305590800540 is 450080955035.

It is a junction number, because it is equal to n+sod(n) for n = 5305590800491 and 5305590800500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79902794 + ... + 79969166.

It is an arithmetic number, because the mean of its divisors is an integer number (159940100320).

Almost surely, 2^{5305590800540} 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 5305590800540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757843611520).

5305590800540 is an abundant number, since it is smaller than the sum of its proper divisors (6210096422500).

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

5305590800540 is a wasteful number, since it uses less digits than its factorization.

5305590800540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70603 (or 70570 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 5305590800540 in words is "five trillion, three hundred five billion, five hundred ninety million, eight hundred thousand, five hundred forty".