48938139360 has 1152 divisors, whose sum is σ = 205423755264. Its totient is φ = 10868981760.

The previous prime is 48938139353. The next prime is 48938139361. The reversal of 48938139360 is 6393183984.

48938139360 is a `hidden beast` number, since 489 + 3 + 8 + 13 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48938139297 and 48938139306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48938139361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385339617 + ... + 385339743.

It is an arithmetic number, because the mean of its divisors is an integer number (178319232).

Almost surely, 2^48938139360 is an apocalyptic number.

48938139360 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 48938139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102711877632).

48938139360 is an abundant number, since it is smaller than the sum of its proper divisors (156485615904).

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

48938139360 is a wasteful number, since it uses less digits than its factorization.

48938139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 48938139360 in words is "forty-eight billion, nine hundred thirty-eight million, one hundred thirty-nine thousand, three hundred sixty".