48973563042960 has 80 divisors (see below), whose sum is σ = 151824055763520. Its totient is φ = 13059099793920.

The previous prime is 48973563042959. The next prime is 48973563042961. The reversal of 48973563042960 is 6924036537984.

It is an interprime number because it is at equal distance from previous prime (48973563042959) and next prime (48973563042961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 48973563042891 and 48973563042900.

It is not an unprimeable number, because it can be changed into a prime (48973563042961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2054830 + ... + 10107890.

It is an arithmetic number, because the mean of its divisors is an integer number (1897800697044).

Almost surely, 2^{48973563042960} is an apocalyptic number.

48973563042960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48973563042960 is an abundant number, since it is smaller than the sum of its proper divisors (102850492720560).

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

48973563042960 is a wasteful number, since it uses less digits than its factorization.

48973563042960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078416 (or 8078410 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 48973563042960 in words is "forty-eight trillion, nine hundred seventy-three billion, five hundred sixty-three million, forty-two thousand, nine hundred sixty".