51541403760 has 640 divisors, whose sum is σ = 234370713600. Its totient is φ = 10079354880.

The previous prime is 51541403729. The next prime is 51541403773. The reversal of 51541403760 is 6730414515.

51541403760 is a `hidden beast` number, since 5 + 1 + 541 + 40 + 3 + 76 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2818326 + ... + 2836554.

It is an arithmetic number, because the mean of its divisors is an integer number (366204240).

Almost surely, 2^51541403760 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 51541403760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117185356800).

51541403760 is an abundant number, since it is smaller than the sum of its proper divisors (182829309840).

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

51541403760 is a wasteful number, since it uses less digits than its factorization.

51541403760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18286 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51541403760 in words is "fifty-one billion, five hundred forty-one million, four hundred three thousand, seven hundred sixty".