1057351680 has 576 divisors, whose sum is σ = 4599504000. Its totient is φ = 218234880.

The previous prime is 1057351663. The next prime is 1057351693. The reversal of 1057351680 is 861537501.

1057351680 is a `hidden beast` number, since 1 + 0 + 573 + 5 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1057351680³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096246 + ... + 7096394.

It is an arithmetic number, because the mean of its divisors is an integer number (7985250).

Almost surely, 2^1057351680 is an apocalyptic number.

1057351680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057351680 is the 18774-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299752000).

1057351680 is an abundant number, since it is smaller than the sum of its proper divisors (3542152320).

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

1057351680 is a wasteful number, since it uses less digits than its factorization.

1057351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1057351680 is about 32516.9445059034. The cubic root of 1057351680 is about 1018.7629755834.

The spelling of 1057351680 in words is "one billion, fifty-seven million, three hundred fifty-one thousand, six hundred eighty".