48642052608000 has 1820 divisors, whose sum is σ = 192121960842708. Its totient is φ = 12288518553600.

The previous prime is 48642052607987. The next prime is 48642052608041. The reversal of 48642052608000 is 80625024684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48642052608000 is a `hidden beast` number, since 4 + 8 + 6 + 42 + 0 + 526 + 0 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1556545683456 + 47085506924544 = 1247616^2 + 6861888^2 .

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 48642052608000 = 4560³ + 36480³ = 20520³ + 34200³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2560108031991 + ... + 2560108032009.

Almost surely, 2^{48642052608000} is an apocalyptic number.

48642052608000 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 48642052608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96060980421354).

48642052608000 is an abundant number, since it is smaller than the sum of its proper divisors (143479908234708).

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

48642052608000 is an frugal number, since it uses more digits than its factorization.

48642052608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

48642052608000 divided by its sum of digits (45) gives a square (1080934502400 = 1039680²).

The spelling of 48642052608000 in words is "forty-eight trillion, six hundred forty-two billion, fifty-two million, six hundred eight thousand".