5831009648640 has 1440 divisors, whose sum is σ = 23633007390720. Its totient is φ = 1366386278400.

The previous prime is 5831009648621. The next prime is 5831009648677. The reversal of 5831009648640 is 468469001385.

5831009648640 is a `hidden beast` number, since 5 + 8 + 31 + 0 + 0 + 96 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6788136531 + ... + 6788137389.

It is an arithmetic number, because the mean of its divisors is an integer number (16411810688).

Almost surely, 2^{5831009648640} 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 5831009648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816503695360).

5831009648640 is an abundant number, since it is smaller than the sum of its proper divisors (17801997742080).

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

5831009648640 is an equidigital number, since it uses as much as digits as its factorization.

5831009648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 5831009648640 in words is "five trillion, eight hundred thirty-one billion, nine million, six hundred forty-eight thousand, six hundred forty".