51336361440000 has 7200 divisors, whose sum is σ = 259607099136000. Its totient is φ = 9782083584000.

The previous prime is 51336361439999. The next prime is 51336361440031. The reversal of 51336361440000 is 4416363315.

51336361440000 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 636 + 14 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 649827359961 + ... + 649827360039.

Almost surely, 2^{51336361440000} is an apocalyptic number.

51336361440000 is a gapful number since it is divisible by the number (50) 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 51336361440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129803549568000).

51336361440000 is an abundant number, since it is smaller than the sum of its proper divisors (208270737696000).

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

51336361440000 is a wasteful number, since it uses less digits than its factorization.

51336361440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 51336361440000 in words is "fifty-one trillion, three hundred thirty-six billion, three hundred sixty-one million, four hundred forty thousand".