1057959900 has 288 divisors, whose sum is σ = 3674764800. Its totient is φ = 260236800.

The previous prime is 1057959869. The next prime is 1057959913. The reversal of 1057959900 is 99597501.

1057959900 is a `hidden beast` number, since 1 + 0 + 57 + 9 + 599 + 0 + 0 = 666.

It is a super-2 number, since 2×1057959900² = 2238558300016020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103049 + ... + 2103551.

It is an arithmetic number, because the mean of its divisors is an integer number (12759600).

Almost surely, 2^1057959900 is an apocalyptic number.

1057959900 is a gapful number since it is divisible by the number (10) 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 1057959900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837382400).

1057959900 is an abundant number, since it is smaller than the sum of its proper divisors (2616804900).

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

1057959900 is a wasteful number, since it uses less digits than its factorization.

1057959900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 1057959900 is about 32526.2955160897. The cubic root of 1057959900 is about 1018.9582790182.

The spelling of 1057959900 in words is "one billion, fifty-seven million, nine hundred fifty-nine thousand, nine hundred".