48980142120 has 256 divisors, whose sum is σ = 181856263680. Its totient is φ = 10276761600.

The previous prime is 48980142109. The next prime is 48980142163. The reversal of 48980142120 is 2124108984.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1964130 + ... + 1988910.

It is an arithmetic number, because the mean of its divisors is an integer number (710376030).

Almost surely, 2^48980142120 is an apocalyptic number.

48980142120 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 48980142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90928131840).

48980142120 is an abundant number, since it is smaller than the sum of its proper divisors (132876121560).

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

48980142120 is a wasteful number, since it uses less digits than its factorization.

48980142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24996 (or 24992 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 48980142120 in words is "forty-eight billion, nine hundred eighty million, one hundred forty-two thousand, one hundred twenty".