48968706883320 has 768 divisors, whose sum is σ = 193316917248000. Its totient is φ = 10501024923648.

The previous prime is 48968706883259. The next prime is 48968706883321. The reversal of 48968706883320 is 2338860786984.

It is a happy number.

48968706883320 is a `hidden beast` number, since 4 + 8 + 96 + 87 + 0 + 68 + 83 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48968706883321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3459945364 + ... + 3459959516.

It is an arithmetic number, because the mean of its divisors is an integer number (251714736000).

Almost surely, 2^{48968706883320} is an apocalyptic number.

48968706883320 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 48968706883320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96658458624000).

48968706883320 is an abundant number, since it is smaller than the sum of its proper divisors (144348210364680).

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

48968706883320 is a wasteful number, since it uses less digits than its factorization.

48968706883320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 48968706883320 in words is "forty-eight trillion, nine hundred sixty-eight billion, seven hundred six million, eight hundred eighty-three thousand, three hundred twenty".