6856057152 has 168 divisors, whose sum is σ = 22609771392. Its totient is φ = 1945728000.

The previous prime is 6856057141. The next prime is 6856057171. The reversal of 6856057152 is 2517506586.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6856057152² = 94011039342980702208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6856057098 and 6856057107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603202 + ... + 614462.

Almost surely, 2^6856057152 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 6856057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304885696).

6856057152 is an abundant number, since it is smaller than the sum of its proper divisors (15753714240).

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

6856057152 is a wasteful number, since it uses less digits than its factorization.

6856057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 6856057152 is about 82801.3112939644. The cubic root of 6856057152 is about 1899.7282300115.

The spelling of 6856057152 in words is "six billion, eight hundred fifty-six million, fifty-seven thousand, one hundred fifty-two".