48048040484080 has 320 divisors, whose sum is σ = 137758682880000. Its totient is φ = 15176875069440.

The previous prime is 48048040484071. The next prime is 48048040484089. The reversal of 48048040484080 is 8048404084084.

48048040484080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48048040484071) and next prime (48048040484089).

It is a super-2 number, since 2×48048040484080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48048040484089) 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 63 ways as a sum of consecutive naturals, for example, 10268867181 + ... + 10268871859.

It is an arithmetic number, because the mean of its divisors is an integer number (430495884000).

Almost surely, 2^{48048040484080} is an apocalyptic number.

48048040484080 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 48048040484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68879341440000).

48048040484080 is an abundant number, since it is smaller than the sum of its proper divisors (89710642395920).

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

48048040484080 is a wasteful number, since it uses less digits than its factorization.

48048040484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 52.

The spelling of 48048040484080 in words is "forty-eight trillion, forty-eight billion, forty million, four hundred eighty-four thousand, eighty".