48091735020000 has 960 divisors, whose sum is σ = 184367183616000. Its totient is φ = 10968410880000.

The previous prime is 48091735019981. The next prime is 48091735020001. The reversal of 48091735020000 is 2053719084.

48091735020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48091735020000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48091735020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10475217705 + ... + 10475222295.

It is an arithmetic number, because the mean of its divisors is an integer number (192049149600).

Almost surely, 2^{48091735020000} is an apocalyptic number.

48091735020000 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 48091735020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92183591808000).

48091735020000 is an abundant number, since it is smaller than the sum of its proper divisors (136275448596000).

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

48091735020000 is an equidigital number, since it uses as much as digits as its factorization.

48091735020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 48091735020000 its reverse (2053719084), we get a palindrome (48093788739084).

The spelling of 48091735020000 in words is "forty-eight trillion, ninety-one billion, seven hundred thirty-five million, twenty thousand".