48556408320 has 960 divisors, whose sum is σ = 201821368320. Its totient is φ = 10558439424.

The previous prime is 48556408297. The next prime is 48556408331. The reversal of 48556408320 is 2380465584.

48556408320 is a `hidden beast` number, since 4 + 8 + 5 + 564 + 0 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471421389 + ... + 471421491.

It is an arithmetic number, because the mean of its divisors is an integer number (210230592).

Almost surely, 2^48556408320 is an apocalyptic number.

48556408320 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 48556408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100910684160).

48556408320 is an abundant number, since it is smaller than the sum of its proper divisors (153264960000).

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

48556408320 is a wasteful number, since it uses less digits than its factorization.

48556408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 48556408320 in words is "forty-eight billion, five hundred fifty-six million, four hundred eight thousand, three hundred twenty".