253417444020 has 480 divisors, whose sum is σ = 897448349952. Its totient is φ = 59639804928.

The previous prime is 253417444019. The next prime is 253417444067. The reversal of 253417444020 is 20444714352.

253417444020 is a `hidden beast` number, since 25 + 3 + 4 + 174 + 440 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117703264 + ... + 117705416.

Almost surely, 2^253417444020 is an apocalyptic number.

253417444020 is a gapful number since it is divisible by the number (20) 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 253417444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448724174976).

253417444020 is an abundant number, since it is smaller than the sum of its proper divisors (644030905932).

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

253417444020 is a wasteful number, since it uses less digits than its factorization.

253417444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 253417444020 in words is "two hundred fifty-three billion, four hundred seventeen million, four hundred forty-four thousand, twenty".