48280057454160 has 640 divisors, whose sum is σ = 195233820426240. Its totient is φ = 10734855837696.

The previous prime is 48280057454143. The next prime is 48280057454173. The reversal of 48280057454160 is 6145475008284.

48280057454160 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 0 + 0 + 574 + 5 + 4 + 1 + 60 = 666.

48280057454160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48280057454097 and 48280057454106.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4568941197 + ... + 4568951763.

It is an arithmetic number, because the mean of its divisors is an integer number (305052844416).

Almost surely, 2^{48280057454160} is an apocalyptic number.

48280057454160 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 48280057454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97616910213120).

48280057454160 is an abundant number, since it is smaller than the sum of its proper divisors (146953762972080).

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

48280057454160 is a wasteful number, since it uses less digits than its factorization.

48280057454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18800 (or 18788 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 48280057454160 in words is "forty-eight trillion, two hundred eighty billion, fifty-seven million, four hundred fifty-four thousand, one hundred sixty".