48786312960 has 1512 divisors, whose sum is σ = 224633482416. Its totient is φ = 10032906240.

The previous prime is 48786312947. The next prime is 48786312983. The reversal of 48786312960 is 6921368784.

48786312960 is a `hidden beast` number, since 487 + 8 + 63 + 12 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 = 48786312897 and 48786312906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 502951632 + ... + 502951728.

It is an arithmetic number, because the mean of its divisors is an integer number (148567118).

Almost surely, 2^48786312960 is an apocalyptic number.

48786312960 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 48786312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112316741208).

48786312960 is an abundant number, since it is smaller than the sum of its proper divisors (175847169456).

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

48786312960 is an equidigital number, since it uses as much as digits as its factorization.

48786312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48786312960 in words is "forty-eight billion, seven hundred eighty-six million, three hundred twelve thousand, nine hundred sixty".