48675893760 has 720 divisors, whose sum is σ = 189713107584. Its totient is φ = 11955879936.

The previous prime is 48675893743. The next prime is 48675893771. The reversal of 48675893760 is 6739857684.

48675893760 is a `hidden beast` number, since 48 + 6 + 7 + 589 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105131289 + ... + 105131751.

Almost surely, 2^48675893760 is an apocalyptic number.

48675893760 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 48675893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94856553792).

48675893760 is an abundant number, since it is smaller than the sum of its proper divisors (141037213824).

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

48675893760 is an equidigital number, since it uses as much as digits as its factorization.

48675893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 48675893760 in words is "forty-eight billion, six hundred seventy-five million, eight hundred ninety-three thousand, seven hundred sixty".