48585015360 has 1008 divisors, whose sum is σ = 210203735040. Its totient is φ = 10077143040.

The previous prime is 48585015341. The next prime is 48585015371. The reversal of 48585015360 is 6351058584.

48585015360 is a `hidden beast` number, since 4 + 8 + 585 + 0 + 1 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180613306 + ... + 180613574.

Almost surely, 2^48585015360 is an apocalyptic number.

48585015360 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 48585015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105101867520).

48585015360 is an abundant number, since it is smaller than the sum of its proper divisors (161618719680).

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

48585015360 is a wasteful number, since it uses less digits than its factorization.

48585015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 48585015360 in words is "forty-eight billion, five hundred eighty-five million, fifteen thousand, three hundred sixty".