48011010000000 has 256 divisors, whose sum is σ = 159411248156160. Its totient is φ = 12802928000000.

The previous prime is 48011009999969. The next prime is 48011010000113. The reversal of 48011010000000 is 1011084.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29199817 + ... + 30800183.

It is an arithmetic number, because the mean of its divisors is an integer number (622700188110).

Almost surely, 2^{48011010000000} is an apocalyptic number.

48011010000000 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 48011010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79705624078080).

48011010000000 is an abundant number, since it is smaller than the sum of its proper divisors (111400238156160).

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

48011010000000 is an frugal number, since it uses more digits than its factorization.

48011010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600419 (or 1600377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 48011010000000 its reverse (1011084), we get a palindrome (48011011011084).

The spelling of 48011010000000 in words is "forty-eight trillion, eleven billion, ten million", and thus it is an aban number and an uban number.