57881241600 has 1152 divisors, whose sum is σ = 243636906240. Its totient is φ = 11796480000.

The previous prime is 57881241599. The next prime is 57881241611. The reversal of 57881241600 is 614218875.

57881241600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573081550 + ... + 573081650.

It is an arithmetic number, because the mean of its divisors is an integer number (211490370).

Almost surely, 2^57881241600 is an apocalyptic number.

57881241600 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 57881241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121818453120).

57881241600 is an abundant number, since it is smaller than the sum of its proper divisors (185755664640).

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

57881241600 is a wasteful number, since it uses less digits than its factorization.

57881241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 57881241600 in words is "fifty-seven billion, eight hundred eighty-one million, two hundred forty-one thousand, six hundred".