51715840540000 has 960 divisors, whose sum is σ = 162647168745600. Its totient is φ = 15744098304000.

The previous prime is 51715840539997. The next prime is 51715840540033. The reversal of 51715840540000 is 4504851715.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5993255686 + ... + 5993264314.

It is an arithmetic number, because the mean of its divisors is an integer number (169424134110).

Almost surely, 2^{51715840540000} is an apocalyptic number.

51715840540000 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 51715840540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81323584372800).

51715840540000 is an abundant number, since it is smaller than the sum of its proper divisors (110931328205600).

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

51715840540000 is a wasteful number, since it uses less digits than its factorization.

51715840540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 51715840540000 in words is "fifty-one trillion, seven hundred fifteen billion, eight hundred forty million, five hundred forty thousand".