48511249920 has 800 divisors, whose sum is σ = 209143756800. Its totient is φ = 10498719744.

The previous prime is 48511249889. The next prime is 48511249933. The reversal of 48511249920 is 2994211584.

It is a happy number.

48511249920 is a `hidden beast` number, since 4 + 8 + 511 + 2 + 49 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578001 + ... + 27579759.

It is an arithmetic number, because the mean of its divisors is an integer number (261429696).

Almost surely, 2^48511249920 is an apocalyptic number.

48511249920 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 48511249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104571878400).

48511249920 is an abundant number, since it is smaller than the sum of its proper divisors (160632506880).

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

48511249920 is a wasteful number, since it uses less digits than its factorization.

48511249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 48511249920 in words is "forty-eight billion, five hundred eleven million, two hundred forty-nine thousand, nine hundred twenty".