57485635200 has 1152 divisors, whose sum is σ = 248609088000. Its totient is φ = 12844707840.

The previous prime is 57485635159. The next prime is 57485635211. The reversal of 57485635200 is 253658475.

57485635200 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 5 + 635 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 321148711 + ... + 321148889.

It is an arithmetic number, because the mean of its divisors is an integer number (215806500).

Almost surely, 2^57485635200 is an apocalyptic number.

57485635200 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 57485635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124304544000).

57485635200 is an abundant number, since it is smaller than the sum of its proper divisors (191123452800).

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

57485635200 is a wasteful number, since it uses less digits than its factorization.

57485635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57485635200 in words is "fifty-seven billion, four hundred eighty-five million, six hundred thirty-five thousand, two hundred".