48791393280 has 770 divisors, whose sum is σ = 203980647354. Its totient is φ = 11152318464.

The previous prime is 48791393279. The next prime is 48791393347. The reversal of 48791393280 is 8239319784.

48791393280 is a `hidden beast` number, since 487 + 9 + 139 + 3 + 28 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39033114624 + 9758278656 = 197568^2 + 98784^2 .

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

It is a congruent number.

It is an unprimeable number.

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 69 ways as a sum of consecutive naturals, for example, 6970199037 + ... + 6970199043.

Almost surely, 2^48791393280 is an apocalyptic number.

48791393280 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 48791393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101990323677).

48791393280 is an abundant number, since it is smaller than the sum of its proper divisors (155189254074).

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

48791393280 is an frugal number, since it uses more digits than its factorization.

48791393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 48791393280 in words is "forty-eight billion, seven hundred ninety-one million, three hundred ninety-three thousand, two hundred eighty".