51349553136 has 240 divisors, whose sum is σ = 168045841600. Its totient is φ = 14637417984.

The previous prime is 51349553113. The next prime is 51349553179. The reversal of 51349553136 is 63135594315.

51349553136 is a `hidden beast` number, since 51 + 3 + 49 + 553 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51349553091 and 51349553100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118589976 + ... + 118590408.

Almost surely, 2^51349553136 is an apocalyptic number.

51349553136 is a gapful number since it is divisible by the number (56) 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 51349553136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022920800).

51349553136 is an abundant number, since it is smaller than the sum of its proper divisors (116696288464).

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

51349553136 is an frugal number, since it uses more digits than its factorization.

51349553136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 445 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The spelling of 51349553136 in words is "fifty-one billion, three hundred forty-nine million, five hundred fifty-three thousand, one hundred thirty-six".