48585847680 has 1152 divisors, whose sum is σ = 196962554880. Its totient is φ = 11415748608.

The previous prime is 48585847669. The next prime is 48585847693. The reversal of 48585847680 is 8674858584.

48585847680 is a `hidden beast` number, since 4 + 8 + 5 + 85 + 8 + 476 + 80 = 666.

48585847680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×48585847680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1033741417 + ... + 1033741463.

It is an arithmetic number, because the mean of its divisors is an integer number (170974440).

Almost surely, 2^48585847680 is an apocalyptic number.

48585847680 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 48585847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98481277440).

48585847680 is an abundant number, since it is smaller than the sum of its proper divisors (148376707200).

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

48585847680 is a wasteful number, since it uses less digits than its factorization.

48585847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 48585847680 in words is "forty-eight billion, five hundred eighty-five million, eight hundred forty-seven thousand, six hundred eighty".