48579807360 has 384 divisors, whose sum is σ = 185951255040. Its totient is φ = 10745118720.

The previous prime is 48579807343. The next prime is 48579807389. The reversal of 48579807360 is 6370897584.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 48579807360.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908152 + ... + 2924808.

It is an arithmetic number, because the mean of its divisors is an integer number (484248060).

Almost surely, 2^48579807360 is an apocalyptic number.

48579807360 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 48579807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92975627520).

48579807360 is an abundant number, since it is smaller than the sum of its proper divisors (137371447680).

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

48579807360 is a wasteful number, since it uses less digits than its factorization.

48579807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16724 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 48579807360 in words is "forty-eight billion, five hundred seventy-nine million, eight hundred seven thousand, three hundred sixty".