5351529980160 has 4032 divisors, whose sum is σ = 25942633758720. Its totient is φ = 1025506344960.

The previous prime is 5351529980119. The next prime is 5351529980197. The reversal of 5351529980160 is 610899251535.

5351529980160 is a `hidden beast` number, since 5 + 3 + 51 + 529 + 9 + 8 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5351529980097 and 5351529980106.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 50014298827 + ... + 50014298933.

It is an arithmetic number, because the mean of its divisors is an integer number (6434184960).

Almost surely, 2^{5351529980160} 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 5351529980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971316879360).

5351529980160 is an abundant number, since it is smaller than the sum of its proper divisors (20591103778560).

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

5351529980160 is a wasteful number, since it uses less digits than its factorization.

5351529980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 5351529980160 in words is "five trillion, three hundred fifty-one billion, five hundred twenty-nine million, nine hundred eighty thousand, one hundred sixty".