48598560000 has 270 divisors, whose sum is σ = 175101176250. Its totient is φ = 12959232000.

The previous prime is 48598559983. The next prime is 48598560001. The reversal of 48598560000 is 6589584.

48598560000 is a `hidden beast` number, since 4 + 8 + 598 + 56 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 8091362304 + 40507197696 = 89952^2 + 201264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48598560001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1423126 + ... + 1456874.

It is an arithmetic number, because the mean of its divisors is an integer number (648522875).

Almost surely, 2^48598560000 is an apocalyptic number.

48598560000 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 48598560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87550588125).

48598560000 is an abundant number, since it is smaller than the sum of its proper divisors (126502616250).

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

48598560000 is an equidigital number, since it uses as much as digits as its factorization.

48598560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33791 (or 33759 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 48598560000 in words is "forty-eight billion, five hundred ninety-eight million, five hundred sixty thousand".