48968732880 has 240 divisors, whose sum is σ = 167177599056. Its totient is φ = 12843048960.

The previous prime is 48968732867. The next prime is 48968732887. The reversal of 48968732880 is 8823786984.

48968732880 is a `hidden beast` number, since 489 + 6 + 8 + 73 + 2 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99440784 + 48869292096 = 9972^2 + 221064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48968732887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22126654 + ... + 22128866.

Almost surely, 2^48968732880 is an apocalyptic number.

48968732880 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 48968732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83588799528).

48968732880 is an abundant number, since it is smaller than the sum of its proper divisors (118208866176).

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

48968732880 is a wasteful number, since it uses less digits than its factorization.

48968732880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 48968732880 in words is "forty-eight billion, nine hundred sixty-eight million, seven hundred thirty-two thousand, eight hundred eighty".