5146825516560 has 720 divisors, whose sum is σ = 22455463133376. Its totient is φ = 1085921012736.

The previous prime is 5146825516559. The next prime is 5146825516561. The reversal of 5146825516560 is 656155286415.

5146825516560 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 8 + 25 + 51 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5146825516559) and next prime (5146825516561).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5146825516560² (a number of 26 digits) contains 22 as substring.

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 = 5146825516497 and 5146825516506.

It is not an unprimeable number, because it can be changed into a prime (5146825516561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12175467 + ... + 12591093.

Almost surely, 2^{5146825516560} 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 5146825516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227731566688).

5146825516560 is an abundant number, since it is smaller than the sum of its proper divisors (17308637616816).

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

5146825516560 is a wasteful number, since it uses less digits than its factorization.

5146825516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415682 (or 415657 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 5146825516560 in words is "five trillion, one hundred forty-six billion, eight hundred twenty-five million, five hundred sixteen thousand, five hundred sixty".