53220410100 has 540 divisors, whose sum is σ = 204264651052. Its totient is φ = 11906611200.

The previous prime is 53220410081. The next prime is 53220410101. The reversal of 53220410100 is 101402235.

53220410100 is a `hidden beast` number, since 532 + 20 + 4 + 10 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 376515216 + 52843894884 = 19404^2 + 229878^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53220410101) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12739212 + ... + 12743388.

Almost surely, 2^53220410100 is an apocalyptic number.

53220410100 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 53220410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102132325526).

53220410100 is an abundant number, since it is smaller than the sum of its proper divisors (151044240952).

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

53220410100 is a wasteful number, since it uses less digits than its factorization.

53220410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 53220410100 its reverse (101402235), we get a palindrome (53321812335).

The spelling of 53220410100 in words is "fifty-three billion, two hundred twenty million, four hundred ten thousand, one hundred".