10030688073600 has 192 divisors, whose sum is σ = 33089194589040. Its totient is φ = 2670752235520.

The previous prime is 10030688073587. The next prime is 10030688073649. The reversal of 10030688073600 is 637088603001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10030688073600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5468752 + ... + 7068848.

Almost surely, 2^{10030688073600} is an apocalyptic number.

10030688073600 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 10030688073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544597294520).

10030688073600 is an abundant number, since it is smaller than the sum of its proper divisors (23058506515440).

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

10030688073600 is a wasteful number, since it uses less digits than its factorization.

10030688073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600777 (or 1600760 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10030688073600 in words is "ten trillion, thirty billion, six hundred eighty-eight million, seventy-three thousand, six hundred".