57530075283000 has 896 divisors, whose sum is σ = 211695066760320. Its totient is φ = 14599010764800.

The previous prime is 57530075282993. The next prime is 57530075283019. The reversal of 57530075283000 is 38257003575.

57530075283000 is a `hidden beast` number, since 575 + 3 + 0 + 0 + 75 + 2 + 8 + 3 + 0 + 0 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 3303090292 + ... + 3303107708.

Almost surely, 2^{57530075283000} is an apocalyptic number.

57530075283000 is a gapful number since it is divisible by the number (50) 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 57530075283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105847533380160).

57530075283000 is an abundant number, since it is smaller than the sum of its proper divisors (154164991477320).

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

57530075283000 is a wasteful number, since it uses less digits than its factorization.

57530075283000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17647 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 57530075283000 in words is "fifty-seven trillion, five hundred thirty billion, seventy-five million, two hundred eighty-three thousand".