51824983140 has 768 divisors, whose sum is σ = 203863080960. Its totient is φ = 10659962880.

The previous prime is 51824983099. The next prime is 51824983141. The reversal of 51824983140 is 4138942815.

51824983140 is a `hidden beast` number, since 5 + 18 + 2 + 498 + 3 + 140 = 666.

It is a super-2 number, since 2×51824983140² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51824983141) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 168810867 + ... + 168811173.

It is an arithmetic number, because the mean of its divisors is an integer number (265446720).

Almost surely, 2^51824983140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51824983140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101931540480).

51824983140 is an abundant number, since it is smaller than the sum of its proper divisors (152038097820).

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

51824983140 is a wasteful number, since it uses less digits than its factorization.

51824983140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51824983140 in words is "fifty-one billion, eight hundred twenty-four million, nine hundred eighty-three thousand, one hundred forty".