10068153600 has 216 divisors, whose sum is σ = 33496744960. Its totient is φ = 2663055360.

The previous prime is 10068153577. The next prime is 10068153647. The reversal of 10068153600 is 635186001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436336 + ... + 2440464.

Almost surely, 2^10068153600 is an apocalyptic number.

10068153600 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 10068153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748372480).

10068153600 is an abundant number, since it is smaller than the sum of its proper divisors (23428591360).

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

10068153600 is a wasteful number, since it uses less digits than its factorization.

10068153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 10068153600 in words is "ten billion, sixty-eight million, one hundred fifty-three thousand, six hundred".