57348918900 has 648 divisors, whose sum is σ = 226916726400. Its totient is φ = 12007457280.

The previous prime is 57348918899. The next prime is 57348918901. The reversal of 57348918900 is 981984375.

57348918900 is a `hidden beast` number, since 5 + 73 + 489 + 1 + 8 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57348918899) and next prime (57348918901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57348918901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 95740801 + ... + 95741399.

Almost surely, 2^57348918900 is an apocalyptic number.

57348918900 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 57348918900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113458363200).

57348918900 is an abundant number, since it is smaller than the sum of its proper divisors (169567807500).

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

57348918900 is a wasteful number, since it uses less digits than its factorization.

57348918900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 57348918900 in words is "fifty-seven billion, three hundred forty-eight million, nine hundred eighteen thousand, nine hundred".