5948209920 has 144 divisors (see below), whose sum is σ = 19997187840. Its totient is φ = 1502687232.

The previous prime is 5948209919. The next prime is 5948209921. The reversal of 5948209920 is 299028495.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5948209919) and next prime (5948209921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5948209920.

It is not an unprimeable number, because it can be changed into a prime (5948209921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32197 + ... + 113723.

It is an arithmetic number, because the mean of its divisors is an integer number (138869360).

Almost surely, 2^5948209920 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 5948209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998593920).

5948209920 is an abundant number, since it is smaller than the sum of its proper divisors (14048977920).

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

5948209920 is a wasteful number, since it uses less digits than its factorization.

5948209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81570 (or 81556 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 5948209920 is about 77124.6388646326. The cubic root of 5948209920 is about 1811.8772095401.

The spelling of 5948209920 in words is "five billion, nine hundred forty-eight million, two hundred nine thousand, nine hundred twenty".