5381690146560 has 2304 divisors, whose sum is σ = 24298967347200. Its totient is φ = 1097801662464.

The previous prime is 5381690146519. The next prime is 5381690146601. The reversal of 5381690146560 is 656410961835.

5381690146560 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 69 + 0 + 14 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5381690146519) and next prime (5381690146601).

It is a tau number, because it is divible by the number of its divisors (2304).

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 = 5381690146497 and 5381690146506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13834678846 + ... + 13834679234.

It is an arithmetic number, because the mean of its divisors is an integer number (10546426800).

Almost surely, 2^{5381690146560} 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 5381690146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149483673600).

5381690146560 is an abundant number, since it is smaller than the sum of its proper divisors (18917277200640).

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

5381690146560 is a wasteful number, since it uses less digits than its factorization.

5381690146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5381690146560 in words is "five trillion, three hundred eighty-one billion, six hundred ninety million, one hundred forty-six thousand, five hundred sixty".