57152460477700 has 144 divisors (see below), whose sum is σ = 144435816766080. Its totient is φ = 19222293242880.

The previous prime is 57152460477649. The next prime is 57152460477709. The reversal of 57152460477700 is 777406425175.

It is a happy number.

57152460477700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57152460477709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234684199 + ... + 234927601.

It is an arithmetic number, because the mean of its divisors is an integer number (1003026505320).

Almost surely, 2^{57152460477700} is an apocalyptic number.

57152460477700 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 57152460477700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72217908383040).

57152460477700 is an abundant number, since it is smaller than the sum of its proper divisors (87283356288380).

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

57152460477700 is a wasteful number, since it uses less digits than its factorization.

57152460477700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249806 (or 249799 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 55.

The spelling of 57152460477700 in words is "fifty-seven trillion, one hundred fifty-two billion, four hundred sixty million, four hundred seventy-seven thousand, seven hundred".