48921882240 has 768 divisors, whose sum is σ = 202890925440. Its totient is φ = 9909043200.

The previous prime is 48921882239. The next prime is 48921882259. The reversal of 48921882240 is 4228812984.

48921882240 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48921882240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42429504 + ... + 42430656.

Almost surely, 2^48921882240 is an apocalyptic number.

48921882240 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 48921882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101445462720).

48921882240 is an abundant number, since it is smaller than the sum of its proper divisors (153969043200).

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

48921882240 is a wasteful number, since it uses less digits than its factorization.

48921882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 48921882240 in words is "forty-eight billion, nine hundred twenty-one million, eight hundred eighty-two thousand, two hundred forty".