1057755283200 has 2592 divisors, whose sum is σ = 4997430477312. Its totient is φ = 216782438400.

The previous prime is 1057755283147. The next prime is 1057755283217. The reversal of 1057755283200 is 23825577501.

1057755283200 is a `hidden beast` number, since 1 + 0 + 5 + 77 + 552 + 8 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×1057755283200² (a number of 25 digits) 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 287 ways as a sum of consecutive naturals, for example, 14489798364 + ... + 14489798436.

Almost surely, 2^{1057755283200} is an apocalyptic number.

1057755283200 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 1057755283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498715238656).

1057755283200 is an abundant number, since it is smaller than the sum of its proper divisors (3939675194112).

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

1057755283200 is an frugal number, since it uses more digits than its factorization.

1057755283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 1057755283200 in words is "one trillion, fifty-seven billion, seven hundred fifty-five million, two hundred eighty-three thousand, two hundred".