48053440512 has 1092 divisors, whose sum is σ = 190514796640. Its totient is φ = 11824496640.

The previous prime is 48053440511. The next prime is 48053440583. The reversal of 48053440512 is 21504435084.

It is a happy number.

48053440512 is a `hidden beast` number, since 4 + 80 + 534 + 40 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48053440511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2529128439 + ... + 2529128457.

Almost surely, 2^48053440512 is an apocalyptic number.

48053440512 is a gapful number since it is divisible by the number (42) 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 48053440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95257398320).

48053440512 is an abundant number, since it is smaller than the sum of its proper divisors (142461356128).

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

48053440512 is an equidigital number, since it uses as much as digits as its factorization.

48053440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 48053440512 its reverse (21504435084), we get a palindrome (69557875596).

The spelling of 48053440512 in words is "forty-eight billion, fifty-three million, four hundred forty thousand, five hundred twelve".