210253417920 has 1008 divisors, whose sum is σ = 935444659968. Its totient is φ = 42918543360.

The previous prime is 210253417903. The next prime is 210253417931. The reversal of 210253417920 is 29714352012.

210253417920 is a `hidden beast` number, since 2 + 102 + 53 + 417 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 56869512 + ... + 56873208.

It is an arithmetic number, because the mean of its divisors is an integer number (928020496).

Almost surely, 2^210253417920 is an apocalyptic number.

210253417920 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 210253417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467722329984).

210253417920 is an abundant number, since it is smaller than the sum of its proper divisors (725191242048).

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

210253417920 is a wasteful number, since it uses less digits than its factorization.

210253417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 210253417920 its reverse (29714352012), we get a palindrome (239967769932).

The spelling of 210253417920 in words is "two hundred ten billion, two hundred fifty-three million, four hundred seventeen thousand, nine hundred twenty".