48738593280 has 320 divisors, whose sum is σ = 176634944640. Its totient is φ = 11365318656.

The previous prime is 48738593269. The next prime is 48738593287. The reversal of 48738593280 is 8239583784.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×48738593280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 48738593280.

It is not an unprimeable number, because it can be changed into a prime (48738593287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884114 + ... + 1909806.

It is an arithmetic number, because the mean of its divisors is an integer number (551984202).

Almost surely, 2^48738593280 is an apocalyptic number.

48738593280 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 48738593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88317472320).

48738593280 is an abundant number, since it is smaller than the sum of its proper divisors (127896351360).

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

48738593280 is a wasteful number, since it uses less digits than its factorization.

48738593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25751 (or 25735 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 48738593280 in words is "forty-eight billion, seven hundred thirty-eight million, five hundred ninety-three thousand, two hundred eighty".