48517742880 has 240 divisors, whose sum is σ = 176752122624. Its totient is φ = 12520604160.

The previous prime is 48517742879. The next prime is 48517742881. The reversal of 48517742880 is 8824771584.

48517742880 is a `hidden beast` number, since 4 + 8 + 517 + 7 + 42 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (48517742879) and next prime (48517742881).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48517742881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 341379 + ... + 462141.

Almost surely, 2^48517742880 is an apocalyptic number.

48517742880 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 48517742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88376061312).

48517742880 is an abundant number, since it is smaller than the sum of its proper divisors (128234379744).

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

48517742880 is a wasteful number, since it uses less digits than its factorization.

48517742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120821 (or 120804 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 48517742880 in words is "forty-eight billion, five hundred seventeen million, seven hundred forty-two thousand, eight hundred eighty".