48538878960 has 960 divisors, whose sum is σ = 192172700160. Its totient is φ = 10036224000.

The previous prime is 48538878953. The next prime is 48538878967. The reversal of 48538878960 is 6987883584.

It is an interprime number because it is at equal distance from previous prime (48538878953) and next prime (48538878967).

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

It is a junction number, because it is equal to n+sod(n) for n = 48538878891 and 48538878900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48538878967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 480582910 + ... + 480583010.

It is an arithmetic number, because the mean of its divisors is an integer number (200179896).

Almost surely, 2^48538878960 is an apocalyptic number.

48538878960 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 48538878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96086350080).

48538878960 is an abundant number, since it is smaller than the sum of its proper divisors (143633821200).

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

48538878960 is a wasteful number, since it uses less digits than its factorization.

48538878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 48538878960 in words is "forty-eight billion, five hundred thirty-eight million, eight hundred seventy-eight thousand, nine hundred sixty".