57753294450 has 96 divisors (see below), whose sum is σ = 148259272704. Its totient is φ = 14866467840.

The previous prime is 57753294439. The next prime is 57753294451. The reversal of 57753294450 is 5449235775.

It is a junction number, because it is equal to n+sod(n) for n = 57753294393 and 57753294402.

It is not an unprimeable number, because it can be changed into a prime (57753294451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663882 + ... + 745818.

It is an arithmetic number, because the mean of its divisors is an integer number (1544367424).

Almost surely, 2^57753294450 is an apocalyptic number.

57753294450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57753294450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74129636352).

57753294450 is an abundant number, since it is smaller than the sum of its proper divisors (90505978254).

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

57753294450 is a wasteful number, since it uses less digits than its factorization.

57753294450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82116 (or 82111 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 51.

The spelling of 57753294450 in words is "fifty-seven billion, seven hundred fifty-three million, two hundred ninety-four thousand, four hundred fifty".