51752448000 has 624 divisors, whose sum is σ = 203721571872. Its totient is φ = 12533760000.

The previous prime is 51752447983. The next prime is 51752448019. The reversal of 51752448000 is 84425715.

51752448000 is a `hidden beast` number, since 5 + 175 + 2 + 4 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50687490 + ... + 50688510.

It is an arithmetic number, because the mean of its divisors is an integer number (326476878).

Almost surely, 2^51752448000 is an apocalyptic number.

51752448000 is a gapful number since it is divisible by the number (50) 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 51752448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101860785936).

51752448000 is an abundant number, since it is smaller than the sum of its proper divisors (151969123872).

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

51752448000 is a wasteful number, since it uses less digits than its factorization.

51752448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 51752448000 in words is "fifty-one billion, seven hundred fifty-two million, four hundred forty-eight thousand".