48080077480300 has 144 divisors (see below), whose sum is σ = 114802807705600. Its totient is φ = 17408890137600.

The previous prime is 48080077480271. The next prime is 48080077480301. The reversal of 48080077480300 is 308477008084.

It is a happy number.

48080077480300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48080077480300³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48080077480301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513357 + ... + 9819556.

Almost surely, 2^{48080077480300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48080077480300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57401403852800).

48080077480300 is an abundant number, since it is smaller than the sum of its proper divisors (66722730225300).

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

48080077480300 is a wasteful number, since it uses less digits than its factorization.

48080077480300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333056 (or 10333049 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

The spelling of 48080077480300 in words is "forty-eight trillion, eighty billion, seventy-seven million, four hundred eighty thousand, three hundred".