5702358445056 has 660 divisors, whose sum is σ = 21332425303728. Its totient is φ = 1503904776192.

The previous prime is 5702358445033. The next prime is 5702358445061. The reversal of 5702358445056 is 6505448532075.

5702358445056 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 3 + 584 + 4 + 5 + 0 + 56 = 666.

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 = 5702358444993 and 5702358445011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52781365 + ... + 52889291.

Almost surely, 2^{5702358445056} is an apocalyptic number.

5702358445056 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 5702358445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666212651864).

5702358445056 is an abundant number, since it is smaller than the sum of its proper divisors (15630066858672).

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

5702358445056 is a wasteful number, since it uses less digits than its factorization.

5702358445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107986 (or 107952 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 5702358445056 in words is "five trillion, seven hundred two billion, three hundred fifty-eight million, four hundred forty-five thousand, fifty-six".