5905258251120 has 160 divisors (see below), whose sum is σ = 20349541742400. Its totient is φ = 1574022675456.

The previous prime is 5905258251107. The next prime is 5905258251121. The reversal of 5905258251120 is 211528525095.

5905258251120 is a `hidden beast` number, since 5 + 9 + 0 + 5 + 2 + 582 + 51 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905258251121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4162386 + ... + 5397774.

It is an arithmetic number, because the mean of its divisors is an integer number (127184635890).

Almost surely, 2^{5905258251120} 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 5905258251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174770871200).

5905258251120 is an abundant number, since it is smaller than the sum of its proper divisors (14444283491280).

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

5905258251120 is a wasteful number, since it uses less digits than its factorization.

5905258251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237624 (or 1237612 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 5905258251120 in words is "five trillion, nine hundred five billion, two hundred fifty-eight million, two hundred fifty-one thousand, one hundred twenty".