48610800000 has 768 divisors, whose sum is σ = 205261862400. Its totient is φ = 11093760000.

The previous prime is 48610799981. The next prime is 48610800031. The reversal of 48610800000 is 801684.

48610800000 is a `hidden beast` number, since 48 + 610 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75599679 + ... + 75600321.

It is an arithmetic number, because the mean of its divisors is an integer number (267268050).

Almost surely, 2^48610800000 is an apocalyptic number.

48610800000 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 48610800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102630931200).

48610800000 is an abundant number, since it is smaller than the sum of its proper divisors (156651062400).

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

48610800000 is an frugal number, since it uses more digits than its factorization.

48610800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 48610800000 in words is "forty-eight billion, six hundred ten million, eight hundred thousand".