48073891824000 has 1024 divisors, whose sum is σ = 208896605798400. Its totient is φ = 10633835520000.

The previous prime is 48073891823873. The next prime is 48073891824113. The reversal of 48073891824000 is 42819837084.

It is a happy number.

48073891824000 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 389 + 18 + 240 + 0 + 0 = 666.

It is a super-3 number, since 3×48073891824000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93487590 + ... + 94000410.

It is an arithmetic number, because the mean of its divisors is an integer number (204000591600).

Almost surely, 2^{48073891824000} is an apocalyptic number.

48073891824000 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 48073891824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104448302899200).

48073891824000 is an abundant number, since it is smaller than the sum of its proper divisors (160822713974400).

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

48073891824000 is a wasteful number, since it uses less digits than its factorization.

48073891824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512897 (or 512869 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48073891824000 in words is "forty-eight trillion, seventy-three billion, eight hundred ninety-one million, eight hundred twenty-four thousand".