5057742221100 has 432 divisors, whose sum is σ = 17558894283840. Its totient is φ = 1211199897600.

The previous prime is 5057742221099. The next prime is 5057742221111. The reversal of 5057742221100 is 11222477505.

5057742221100 is a `hidden beast` number, since 50 + 5 + 77 + 422 + 2 + 110 + 0 = 666.

It is a super-2 number, since 2×5057742221100² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 143909530 + ... + 143944670.

It is an arithmetic number, because the mean of its divisors is an integer number (40645588620).

Almost surely, 2^{5057742221100} is an apocalyptic number.

5057742221100 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 5057742221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779447141920).

5057742221100 is an abundant number, since it is smaller than the sum of its proper divisors (12501152062740).

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

5057742221100 is a wasteful number, since it uses less digits than its factorization.

5057742221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35610 (or 35600 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 5057742221100 its reverse (11222477505), we get a palindrome (5068964698605).

The spelling of 5057742221100 in words is "five trillion, fifty-seven billion, seven hundred forty-two million, two hundred twenty-one thousand, one hundred".