1057185792 has 168 divisors, whose sum is σ = 3291803424. Its totient is φ = 324993024.

The previous prime is 1057185791. The next prime is 1057185827. The reversal of 1057185792 is 2975817501.

1057185792 is a `hidden beast` number, since 1 + 0 + 5 + 71 + 8 + 579 + 2 = 666.

It is a super-2 number, since 2×1057185792² = 2235283597613334528, which contains 22 as substring.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057185791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957913 + ... + 959015.

It is an arithmetic number, because the mean of its divisors is an integer number (19594068).

Almost surely, 2^1057185792 is an apocalyptic number.

1057185792 is a gapful number since it is divisible by the number (12) 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 1057185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645901712).

1057185792 is an abundant number, since it is smaller than the sum of its proper divisors (2234617632).

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

1057185792 is a wasteful number, since it uses less digits than its factorization.

1057185792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 1057185792 is about 32514.3936126756. The cubic root of 1057185792 is about 1018.7096948587.

The spelling of 1057185792 in words is "one billion, fifty-seven million, one hundred eighty-five thousand, seven hundred ninety-two".