48610025717760 has 960 divisors, whose sum is σ = 190669275135360. Its totient is φ = 11673419120640.

The previous prime is 48610025717717. The next prime is 48610025717777. The reversal of 48610025717760 is 6771752001684.

48610025717760 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 0 + 0 + 2 + 571 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48610025717697 and 48610025717706.

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 63 ways as a sum of consecutive naturals, for example, 1178890104 + ... + 1178931336.

It is an arithmetic number, because the mean of its divisors is an integer number (198613828266).

Almost surely, 2^{48610025717760} is an apocalyptic number.

48610025717760 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 48610025717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95334637567680).

48610025717760 is an abundant number, since it is smaller than the sum of its proper divisors (142059249417600).

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

48610025717760 is a wasteful number, since it uses less digits than its factorization.

48610025717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41329 (or 41297 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 48610025717760 in words is "forty-eight trillion, six hundred ten billion, twenty-five million, seven hundred seventeen thousand, seven hundred sixty".