10230353602560 has 3840 divisors, whose sum is σ = 48331644641280. Its totient is φ = 2011040317440.

The previous prime is 10230353602439. The next prime is 10230353602577. The reversal of 10230353602560 is 6520635303201.

10230353602560 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 35 + 3 + 60 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 123257272279 + ... + 123257272361.

It is an arithmetic number, because the mean of its divisors is an integer number (12586365792).

Almost surely, 2^{10230353602560} is an apocalyptic number.

10230353602560 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 10230353602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165822320640).

10230353602560 is an abundant number, since it is smaller than the sum of its proper divisors (38101291038720).

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

10230353602560 is a wasteful number, since it uses less digits than its factorization.

10230353602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 10230353602560 its reverse (6520635303201), we get a palindrome (16750988905761).

The spelling of 10230353602560 in words is "ten trillion, two hundred thirty billion, three hundred fifty-three million, six hundred two thousand, five hundred sixty".