48216774960 has 640 divisors, whose sum is σ = 188576501760. Its totient is φ = 11255169024.

The previous prime is 48216774959. The next prime is 48216774967. The reversal of 48216774960 is 6947761284.

48216774960 is a `hidden beast` number, since 4 + 82 + 1 + 6 + 77 + 496 + 0 = 666.

48216774960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 48216774897 and 48216774906.

It is not an unprimeable number, because it can be changed into a prime (48216774967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31247949 + ... + 31249491.

It is an arithmetic number, because the mean of its divisors is an integer number (294650784).

Almost surely, 2^48216774960 is an apocalyptic number.

48216774960 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 48216774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94288250880).

48216774960 is an abundant number, since it is smaller than the sum of its proper divisors (140359726800).

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

48216774960 is a wasteful number, since it uses less digits than its factorization.

48216774960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 48216774960 in words is "forty-eight billion, two hundred sixteen million, seven hundred seventy-four thousand, nine hundred sixty".