51515666005650 has 768 divisors, whose sum is σ = 174252895100928. Its totient is φ = 9743652864000.

The previous prime is 51515666005637. The next prime is 51515666005691. The reversal of 51515666005650 is 5650066651515.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51515666005593 and 51515666005602.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1213225420 + ... + 1213267880.

It is an arithmetic number, because the mean of its divisors is an integer number (226891790496).

Almost surely, 2^{51515666005650} is an apocalyptic number.

51515666005650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51515666005650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87126447550464).

51515666005650 is an abundant number, since it is smaller than the sum of its proper divisors (122737229095278).

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

51515666005650 is a wasteful number, since it uses less digits than its factorization.

51515666005650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42715 (or 42710 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 51515666005650 in words is "fifty-one trillion, five hundred fifteen billion, six hundred sixty-six million, five thousand, six hundred fifty".