48585600000 has 792 divisors, whose sum is σ = 201232807776. Its totient is φ = 11059200000.

The previous prime is 48585599999. The next prime is 48585600001. The reversal of 48585600000 is 658584.

It is a happy number.

48585600000 is a `hidden beast` number, since 48 + 5 + 8 + 5 + 600 + 0 + 0 + 0 = 666.

48585600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48585599999) and next prime (48585600001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48585600001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201599880 + ... + 201600120.

It is an arithmetic number, because the mean of its divisors is an integer number (254081828).

Almost surely, 2^48585600000 is an apocalyptic number.

48585600000 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 48585600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100616403888).

48585600000 is an abundant number, since it is smaller than the sum of its proper divisors (152647207776).

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

48585600000 is an equidigital number, since it uses as much as digits as its factorization.

48585600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 48585600000 in words is "forty-eight billion, five hundred eighty-five million, six hundred thousand".