5948354880 has 560 divisors, whose sum is σ = 23131637760. Its totient is φ = 1442230272.

The previous prime is 5948354831. The next prime is 5948354887. The reversal of 5948354880 is 884538495.

5948354880 is a `hidden beast` number, since 5 + 94 + 8 + 3 + 548 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5948354887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42793851 + ... + 42793989.

It is an arithmetic number, because the mean of its divisors is an integer number (41306496).

Almost surely, 2^5948354880 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 5948354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565818880).

5948354880 is an abundant number, since it is smaller than the sum of its proper divisors (17183282880).

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

5948354880 is a wasteful number, since it uses less digits than its factorization.

5948354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 5948354880 is about 77125.5786364031. The cubic root of 5948354880 is about 1811.8919281187.

The spelling of 5948354880 in words is "five billion, nine hundred forty-eight million, three hundred fifty-four thousand, eight hundred eighty".