48120260460480 has 672 divisors, whose sum is σ = 182717756544960. Its totient is φ = 11548184739840.

The previous prime is 48120260460469. The next prime is 48120260460523. The reversal of 48120260460480 is 8406406202184.

48120260460480 is a `hidden beast` number, since 4 + 8 + 12 + 0 + 26 + 0 + 4 + 604 + 8 + 0 = 666.

48120260460480 is digitally balanced in base 5, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2423818234 + ... + 2423838086.

It is an arithmetic number, because the mean of its divisors is an integer number (271901423430).

Almost surely, 2^{48120260460480} is an apocalyptic number.

48120260460480 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 48120260460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91358878272480).

48120260460480 is an abundant number, since it is smaller than the sum of its proper divisors (134597496084480).

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

48120260460480 is a wasteful number, since it uses less digits than its factorization.

48120260460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21509 (or 21496 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 48120260460480 in words is "forty-eight trillion, one hundred twenty billion, two hundred sixty million, four hundred sixty thousand, four hundred eighty".