48405288960 has 864 divisors, whose sum is σ = 202891787280. Its totient is φ = 11036196864.

The previous prime is 48405288959. The next prime is 48405288973. The reversal of 48405288960 is 6988250484.

48405288960 is a `hidden beast` number, since 484 + 0 + 5 + 28 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 48405288897 and 48405288906.

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, 121927482 + ... + 121927878.

Almost surely, 2^48405288960 is an apocalyptic number.

48405288960 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 48405288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101445893640).

48405288960 is an abundant number, since it is smaller than the sum of its proper divisors (154486498320).

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

48405288960 is an equidigital number, since it uses as much as digits as its factorization.

48405288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 48405288960 in words is "forty-eight billion, four hundred five million, two hundred eighty-eight thousand, nine hundred sixty".