51183248760 has 320 divisors, whose sum is σ = 197275921920. Its totient is φ = 11659334400.

The previous prime is 51183248759. The next prime is 51183248861. The reversal of 51183248760 is 6784238115.

51183248760 is a `hidden beast` number, since 511 + 8 + 32 + 48 + 7 + 60 = 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, 6959085 + ... + 6966435.

It is an arithmetic number, because the mean of its divisors is an integer number (616487256).

Almost surely, 2^51183248760 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 51183248760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98637960960).

51183248760 is an abundant number, since it is smaller than the sum of its proper divisors (146092673160).

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

51183248760 is a wasteful number, since it uses less digits than its factorization.

51183248760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 51183248760 in words is "fifty-one billion, one hundred eighty-three million, two hundred forty-eight thousand, seven hundred sixty".