10120569600 has 216 divisors, whose sum is σ = 33504855552. Its totient is φ = 2690355200.

The previous prime is 10120569587. The next prime is 10120569623. The reversal of 10120569600 is 696502101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8274589 + ... + 8275811.

It is an arithmetic number, because the mean of its divisors is an integer number (155115072).

Almost surely, 2^10120569600 is an apocalyptic number.

10120569600 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 10120569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752427776).

10120569600 is an abundant number, since it is smaller than the sum of its proper divisors (23384285952).

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

10120569600 is a wasteful number, since it uses less digits than its factorization.

10120569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 10120569600 in words is "ten billion, one hundred twenty million, five hundred sixty-nine thousand, six hundred".