57285774000 has 960 divisors, whose sum is σ = 252554335488. Its totient is φ = 11778048000.

The previous prime is 57285773999. The next prime is 57285774001. The reversal of 57285774000 is 47758275.

57285774000 is a `hidden beast` number, since 5 + 72 + 8 + 577 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57285773999) and next prime (57285774001).

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

It is not an unprimeable number, because it can be changed into a prime (57285774001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67157574 + ... + 67158426.

Almost surely, 2^57285774000 is an apocalyptic number.

57285774000 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 57285774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126277167744).

57285774000 is an abundant number, since it is smaller than the sum of its proper divisors (195268561488).

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

57285774000 is a wasteful number, since it uses less digits than its factorization.

57285774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 57285774000 in words is "fifty-seven billion, two hundred eighty-five million, seven hundred seventy-four thousand".