51345236592 has 180 divisors, whose sum is σ = 157210448304. Its totient is φ = 15634944000.

The previous prime is 51345236557. The next prime is 51345236599. The reversal of 51345236592 is 29563254315.

51345236592 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 52 + 3 + 6 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51345236599) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2349717 + ... + 2371467.

Almost surely, 2^51345236592 is an apocalyptic number.

51345236592 is a gapful number since it is divisible by the number (52) 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 51345236592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78605224152).

51345236592 is an abundant number, since it is smaller than the sum of its proper divisors (105865211712).

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

51345236592 is a wasteful number, since it uses less digits than its factorization.

51345236592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21888 (or 21866 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 51345236592 in words is "fifty-one billion, three hundred forty-five million, two hundred thirty-six thousand, five hundred ninety-two".