5906577383130 has 256 divisors, whose sum is σ = 15295523880960. Its totient is φ = 1456273851648.

The previous prime is 5906577383051. The next prime is 5906577383141. The reversal of 5906577383130 is 313837756095.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1764736117 + ... + 1764739463.

It is an arithmetic number, because the mean of its divisors is an integer number (59748140160).

Almost surely, 2^{5906577383130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5906577383130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647761940480).

5906577383130 is an abundant number, since it is smaller than the sum of its proper divisors (9388946497830).

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

5906577383130 is a wasteful number, since it uses less digits than its factorization.

5906577383130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153.

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 5906577383130 in words is "five trillion, nine hundred six billion, five hundred seventy-seven million, three hundred eighty-three thousand, one hundred thirty".