48580375203360 has 7776 divisors, whose sum is σ = 251967601005120. Its totient is φ = 8787571752960.

The previous prime is 48580375203287. The next prime is 48580375203397. The reversal of 48580375203360 is 6330257308584.

It is a happy number.

48580375203360 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 0 + 3 + 75 + 203 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a super-2 number, since 2×48580375203360² (a number of 28 digits) contains 22 as substring.

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 = 48580375203297 and 48580375203306.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 1129776167499 + ... + 1129776167541.

It is an arithmetic number, because the mean of its divisors is an integer number (32403240870).

Almost surely, 2^{48580375203360} is an apocalyptic number.

48580375203360 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 48580375203360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125983800502560).

48580375203360 is an abundant number, since it is smaller than the sum of its proper divisors (203387225801760).

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

48580375203360 is a wasteful number, since it uses less digits than its factorization.

48580375203360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 48580375203360 in words is "forty-eight trillion, five hundred eighty billion, three hundred seventy-five million, two hundred three thousand, three hundred sixty".