51715085440 has 64 divisors (see below), whose sum is σ = 123719031360. Its totient is φ = 20671368192.

The previous prime is 51715085431. The next prime is 51715085479. The reversal of 51715085440 is 4458051715.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 51715085393 and 51715085402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898159 + ... + 954001.

It is an arithmetic number, because the mean of its divisors is an integer number (1933109865).

Almost surely, 2^51715085440 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 51715085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61859515680).

51715085440 is an abundant number, since it is smaller than the sum of its proper divisors (72003945920).

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

51715085440 is a wasteful number, since it uses less digits than its factorization.

51715085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57309 (or 57297 counting only the distinct ones).

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

The spelling of 51715085440 in words is "fifty-one billion, seven hundred fifteen million, eighty-five thousand, four hundred forty".