5948135424 has 576 divisors, whose sum is σ = 22308249600. Its totient is φ = 1532805120.

The previous prime is 5948135407. The next prime is 5948135443. The reversal of 5948135424 is 4245318495.

5948135424 is a `hidden beast` number, since 5 + 94 + 8 + 13 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (691200) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 5948135424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46835649 + ... + 46835775.

It is an arithmetic number, because the mean of its divisors is an integer number (38729600).

Almost surely, 2^5948135424 is an apocalyptic number.

5948135424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5948135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154124800).

5948135424 is an abundant number, since it is smaller than the sum of its proper divisors (16360114176).

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

5948135424 is a wasteful number, since it uses less digits than its factorization.

5948135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5948135424 is about 77124.1559046191. The cubic root of 5948135424 is about 1811.8696454623.

The spelling of 5948135424 in words is "five billion, nine hundred forty-eight million, one hundred thirty-five thousand, four hundred twenty-four".