51336609748032 has 448 divisors, whose sum is σ = 168006725996544. Its totient is φ = 13515509145600.

The previous prime is 51336609748019. The next prime is 51336609748057. The reversal of 51336609748032 is 23084790663315.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×51336609748032³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115295943 + ... + 115740345.

It is a 1-persistent number, because it is pandigital, but 2⋅51336609748032 = 102673219496064 is not.

Almost surely, 2^{51336609748032} 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 51336609748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84003362998272).

51336609748032 is an abundant number, since it is smaller than the sum of its proper divisors (116670116248512).

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

51336609748032 is a wasteful number, since it uses less digits than its factorization.

51336609748032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444586 (or 444576 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 51336609748032 in words is "fifty-one trillion, three hundred thirty-six billion, six hundred nine million, seven hundred forty-eight thousand, thirty-two".