48559121493120 has 4608 divisors, whose sum is σ = 227066251276800. Its totient is φ = 9319455129600.

The previous prime is 48559121493083. The next prime is 48559121493131. The reversal of 48559121493120 is 2139412195584.

48559121493120 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 9 + 1 + 21 + 493 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 480783381070 + ... + 480783381170.

It is an arithmetic number, because the mean of its divisors is an integer number (49276530225).

Almost surely, 2^{48559121493120} is an apocalyptic number.

48559121493120 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 48559121493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113533125638400).

48559121493120 is an abundant number, since it is smaller than the sum of its proper divisors (178507129783680).

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

48559121493120 is a wasteful number, since it uses less digits than its factorization.

48559121493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 48559121493120 in words is "forty-eight trillion, five hundred fifty-nine billion, one hundred twenty-one million, four hundred ninety-three thousand, one hundred twenty".