57466079100 has 144 divisors (see below), whose sum is σ = 184861605600. Its totient is φ = 15314434560.

The previous prime is 57466079089. The next prime is 57466079129. The reversal of 57466079100 is 197066475.

It is a happy number.

57466079100 is a `hidden beast` number, since 574 + 6 + 6 + 0 + 79 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4824352 + ... + 4836248.

It is an arithmetic number, because the mean of its divisors is an integer number (1283761150).

Almost surely, 2^57466079100 is an apocalyptic number.

57466079100 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 57466079100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92430802800).

57466079100 is an abundant number, since it is smaller than the sum of its proper divisors (127395526500).

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

57466079100 is a wasteful number, since it uses less digits than its factorization.

57466079100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 57466079100 in words is "fifty-seven billion, four hundred sixty-six million, seventy-nine thousand, one hundred".