48333827520 has 672 divisors, whose sum is σ = 190039239936. Its totient is φ = 11692200960.

The previous prime is 48333827519. The next prime is 48333827573. The reversal of 48333827520 is 2572833384.

48333827520 is a `hidden beast` number, since 48 + 3 + 3 + 3 + 82 + 7 + 520 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103498327 + ... + 103498793.

It is an arithmetic number, because the mean of its divisors is an integer number (282796488).

Almost surely, 2^48333827520 is an apocalyptic number.

48333827520 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 48333827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95019619968).

48333827520 is an abundant number, since it is smaller than the sum of its proper divisors (141705412416).

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

48333827520 is an equidigital number, since it uses as much as digits as its factorization.

48333827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 48333827520 in words is "forty-eight billion, three hundred thirty-three million, eight hundred twenty-seven thousand, five hundred twenty".