48482058240 has 1152 divisors, whose sum is σ = 216778245840. Its totient is φ = 9909043200.

The previous prime is 48482058227. The next prime is 48482058319. The reversal of 48482058240 is 4285028484.

48482058240 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 20 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 794787810 + ... + 794787870.

Almost surely, 2^48482058240 is an apocalyptic number.

48482058240 is a gapful number since it is divisible by the number (40) 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 48482058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108389122920).

48482058240 is an abundant number, since it is smaller than the sum of its proper divisors (168296187600).

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

48482058240 is a wasteful number, since it uses less digits than its factorization.

48482058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 48482058240 in words is "forty-eight billion, four hundred eighty-two million, fifty-eight thousand, two hundred forty".