48840192000 has 416 divisors, whose sum is σ = 180629242560. Its totient is φ = 13020364800.

The previous prime is 48840191989. The next prime is 48840192013. The reversal of 48840192000 is 29104884.

48840192000 is a `hidden beast` number, since 48 + 8 + 401 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13822234 + ... + 13825766.

It is an arithmetic number, because the mean of its divisors is an integer number (434204910).

Almost surely, 2^48840192000 is an apocalyptic number.

48840192000 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 48840192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90314621280).

48840192000 is an abundant number, since it is smaller than the sum of its proper divisors (131789050560).

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

48840192000 is an equidigital number, since it uses as much as digits as its factorization.

48840192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 48840192000 its reverse (29104884), we get a palindrome (48869296884).

The spelling of 48840192000 in words is "forty-eight billion, eight hundred forty million, one hundred ninety-two thousand".