5857577856 has 240 divisors, whose sum is σ = 18881778960. Its totient is φ = 1801792512.

The previous prime is 5857577837. The next prime is 5857577881. The reversal of 5857577856 is 6587757585.

5857577856 is a `hidden beast` number, since 5 + 8 + 5 + 7 + 577 + 8 + 56 = 666.

It is a super-2 number, since 2×5857577856² = 68622436678203113472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5857577793 and 5857577802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1750521 + ... + 1753863.

It is an arithmetic number, because the mean of its divisors is an integer number (78674079).

Almost surely, 2^5857577856 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 5857577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440889480).

5857577856 is an abundant number, since it is smaller than the sum of its proper divisors (13024201104).

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

5857577856 is a wasteful number, since it uses less digits than its factorization.

5857577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3361 counting only the distinct ones).

The product of its digits is 82320000, while the sum is 63.

The square root of 5857577856 is about 76534.8146662681. The cubic root of 5857577856 is about 1802.6276290034.

The spelling of 5857577856 in words is "five billion, eight hundred fifty-seven million, five hundred seventy-seven thousand, eight hundred fifty-six".