48840096096 has 192 divisors, whose sum is σ = 159191827200. Its totient is φ = 14438937600.

The previous prime is 48840096079. The next prime is 48840096103. The reversal of 48840096096 is 69069004884.

48840096096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326995 + ... + 452333.

It is an arithmetic number, because the mean of its divisors is an integer number (829124100).

Almost surely, 2^48840096096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48840096096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79595913600).

48840096096 is an abundant number, since it is smaller than the sum of its proper divisors (110351731104).

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

48840096096 is a wasteful number, since it uses less digits than its factorization.

48840096096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125410 (or 125396 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48840096096 in words is "forty-eight billion, eight hundred forty million, ninety-six thousand, ninety-six".