5790639120 has 320 divisors, whose sum is σ = 22183342080. Its totient is φ = 1219774464.

The previous prime is 5790639109. The next prime is 5790639131. The reversal of 5790639120 is 219360975.

It is an interprime number because it is at equal distance from previous prime (5790639109) and next prime (5790639131).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178589 + ... + 1183491.

It is an arithmetic number, because the mean of its divisors is an integer number (69322944).

Almost surely, 2^5790639120 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 5790639120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091671040).

5790639120 is an abundant number, since it is smaller than the sum of its proper divisors (16392702960).

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

5790639120 is a wasteful number, since it uses less digits than its factorization.

5790639120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 5790639120 is about 76096.2490534192. The cubic root of 5790639120 is about 1795.7346661529.

The spelling of 5790639120 in words is "five billion, seven hundred ninety million, six hundred thirty-nine thousand, one hundred twenty".