5406175789056 has 756 divisors, whose sum is σ = 18884073003432. Its totient is φ = 1541054398464.

The previous prime is 5406175789043. The next prime is 5406175789057. The reversal of 5406175789056 is 6509875716045.

5406175789056 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 1 + 7 + 578 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×5406175789056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5406175788984 and 5406175789002.

It is not an unprimeable number, because it can be changed into a prime (5406175789057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12485394216 + ... + 12485394648.

Almost surely, 2^{5406175789056} is an apocalyptic number.

5406175789056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406175789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442036501716).

5406175789056 is an abundant number, since it is smaller than the sum of its proper divisors (13477897214376).

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

5406175789056 is an frugal number, since it uses more digits than its factorization.

5406175789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 5406175789056 in words is "five trillion, four hundred six billion, one hundred seventy-five million, seven hundred eighty-nine thousand, fifty-six".