51384753180 has 288 divisors, whose sum is σ = 171761990400. Its totient is φ = 12381272064.

The previous prime is 51384753143. The next prime is 51384753191. The reversal of 51384753180 is 8135748315.

It is a happy number.

51384753180 is a `hidden beast` number, since 5 + 1 + 38 + 4 + 7 + 531 + 80 = 666.

It is a super-2 number, since 2×51384753180² (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 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 95 ways as a sum of consecutive naturals, for example, 7759911 + ... + 7766529.

It is an arithmetic number, because the mean of its divisors is an integer number (596395800).

Almost surely, 2^51384753180 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 51384753180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85880995200).

51384753180 is an abundant number, since it is smaller than the sum of its proper divisors (120377237220).

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

51384753180 is a wasteful number, since it uses less digits than its factorization.

51384753180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51384753180 in words is "fifty-one billion, three hundred eighty-four million, seven hundred fifty-three thousand, one hundred eighty".