48042058521600 has 1320 divisors, whose sum is σ = 208995750322128. Its totient is φ = 10750604083200.

The previous prime is 48042058521551. The next prime is 48042058521601. The reversal of 48042058521600 is 612585024084.

48042058521600 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 2 + 0 + 585 + 2 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48042058521601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 296443792 + ... + 296605808.

Almost surely, 2^{48042058521600} is an apocalyptic number.

48042058521600 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 48042058521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104497875161064).

48042058521600 is an abundant number, since it is smaller than the sum of its proper divisors (160953691800528).

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

48042058521600 is a wasteful number, since it uses less digits than its factorization.

48042058521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162083 (or 162051 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 48042058521600 in words is "forty-eight trillion, forty-two billion, fifty-eight million, five hundred twenty-one thousand, six hundred".