5051685260160 has 3072 divisors, whose sum is σ = 24192193536000. Its totient is φ = 971652464640.

The previous prime is 5051685260059. The next prime is 5051685260161. The reversal of 5051685260160 is 610625861505.

5051685260160 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 68 + 526 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051685260161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19656362752 + ... + 19656363008.

It is an arithmetic number, because the mean of its divisors is an integer number (7875063000).

Almost surely, 2^{5051685260160} 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 5051685260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096096768000).

5051685260160 is an abundant number, since it is smaller than the sum of its proper divisors (19140508275840).

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

5051685260160 is a wasteful number, since it uses less digits than its factorization.

5051685260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 5051685260160 in words is "five trillion, fifty-one billion, six hundred eighty-five million, two hundred sixty thousand, one hundred sixty".