57534655200 has 576 divisors, whose sum is σ = 211396469760. Its totient is φ = 13471744000.

The previous prime is 57534655159. The next prime is 57534655261. The reversal of 57534655200 is 255643575.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 110430940 + ... + 110431460.

It is an arithmetic number, because the mean of its divisors is an integer number (367007760).

Almost surely, 2^57534655200 is an apocalyptic number.

57534655200 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 57534655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105698234880).

57534655200 is an abundant number, since it is smaller than the sum of its proper divisors (153861814560).

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

57534655200 is a wasteful number, since it uses less digits than its factorization.

57534655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 42.

The spelling of 57534655200 in words is "fifty-seven billion, five hundred thirty-four million, six hundred fifty-five thousand, two hundred".