10020153600 has 648 divisors, whose sum is σ = 39440288160. Its totient is φ = 2508226560.

The previous prime is 10020153589. The next prime is 10020153607. The reversal of 10020153600 is 635102001.

10020153600 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 1 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 (10020153607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26438211 + ... + 26438589.

Almost surely, 2^10020153600 is an apocalyptic number.

10020153600 is a gapful number since it is divisible by the number (10) 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 10020153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720144080).

10020153600 is an abundant number, since it is smaller than the sum of its proper divisors (29420134560).

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

10020153600 is an equidigital number, since it uses as much as digits as its factorization.

10020153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10020153600 its reverse (635102001), we get a palindrome (10655255601).

The spelling of 10020153600 in words is "ten billion, twenty million, one hundred fifty-three thousand, six hundred".