48765300480 has 288 divisors, whose sum is σ = 186362272320. Its totient is φ = 12003655680.

The previous prime is 48765300469. The next prime is 48765300487. The reversal of 48765300480 is 8400356784.

48765300480 is a `hidden beast` number, since 4 + 8 + 76 + 530 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48765300487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395010 + ... + 503550.

Almost surely, 2^48765300480 is an apocalyptic number.

48765300480 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 48765300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93181136160).

48765300480 is an abundant number, since it is smaller than the sum of its proper divisors (137596971840).

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

48765300480 is a wasteful number, since it uses less digits than its factorization.

48765300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108584 (or 108564 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48765300480 in words is "forty-eight billion, seven hundred sixty-five million, three hundred thousand, four hundred eighty".