48548712960 has 320 divisors, whose sum is σ = 188129208960. Its totient is φ = 11769200640.

The previous prime is 48548712943. The next prime is 48548712977. The reversal of 48548712960 is 6921784584.

It is a happy number.

48548712960 is a `hidden beast` number, since 4 + 8 + 548 + 7 + 1 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48548712943) and next prime (48548712977).

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

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 = 48548712897 and 48548712906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728394 + ... + 792246.

It is an arithmetic number, because the mean of its divisors is an integer number (587903778).

Almost surely, 2^48548712960 is an apocalyptic number.

48548712960 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 48548712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94064604480).

48548712960 is an abundant number, since it is smaller than the sum of its proper divisors (139580496000).

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

48548712960 is a wasteful number, since it uses less digits than its factorization.

48548712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63896 (or 63874 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48548712960 in words is "forty-eight billion, five hundred forty-eight million, seven hundred twelve thousand, nine hundred sixty".