48287910021120 has 2304 divisors, whose sum is σ = 232565640652800. Its totient is φ = 8946167316480.

The previous prime is 48287910021083. The next prime is 48287910021163. The reversal of 48287910021120 is 2112001978284.

48287910021120 is a `hidden beast` number, since 482 + 87 + 91 + 0 + 0 + 2 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2292100827 + ... + 2292121893.

It is an arithmetic number, because the mean of its divisors is an integer number (100939948200).

Almost surely, 2^{48287910021120} is an apocalyptic number.

48287910021120 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 48287910021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116282820326400).

48287910021120 is an abundant number, since it is smaller than the sum of its proper divisors (184277730631680).

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

48287910021120 is a wasteful number, since it uses less digits than its factorization.

48287910021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21154 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 48287910021120 in words is "forty-eight trillion, two hundred eighty-seven billion, nine hundred ten million, twenty-one thousand, one hundred twenty".