48760628949120 has 256 divisors, whose sum is σ = 169936778234880. Its totient is φ = 11794072842240.

The previous prime is 48760628949113. The next prime is 48760628949181. The reversal of 48760628949120 is 2194982606784.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 6750357 + ... + 11961963.

It is an arithmetic number, because the mean of its divisors is an integer number (663815539980).

Almost surely, 2^{48760628949120} is an apocalyptic number.

48760628949120 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 48760628949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84968389117440).

48760628949120 is an abundant number, since it is smaller than the sum of its proper divisors (121176149285760).

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

48760628949120 is a wasteful number, since it uses less digits than its factorization.

48760628949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212083 (or 5212071 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 48760628949120 in words is "forty-eight trillion, seven hundred sixty billion, six hundred twenty-eight million, nine hundred forty-nine thousand, one hundred twenty".