57101299200 has 360 divisors, whose sum is σ = 222931988136. Its totient is φ = 13842432000.

The previous prime is 57101299169. The next prime is 57101299207. The reversal of 57101299200 is 299210175.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57101299207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1244670 + ... + 1289730.

Almost surely, 2^57101299200 is an apocalyptic number.

57101299200 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 57101299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111465994068).

57101299200 is an abundant number, since it is smaller than the sum of its proper divisors (165830688936).

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

57101299200 is a wasteful number, since it uses less digits than its factorization.

57101299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45106 (or 45082 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 57101299200 in words is "fifty-seven billion, one hundred one million, two hundred ninety-nine thousand, two hundred".