10200666960 has 200 divisors, whose sum is σ = 38649463776. Its totient is φ = 2472871680.

The previous prime is 10200666953. The next prime is 10200667013. The reversal of 10200666960 is 6966600201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274 + ... + 142833.

Almost surely, 2^10200666960 is an apocalyptic number.

10200666960 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 10200666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324731888).

10200666960 is an abundant number, since it is smaller than the sum of its proper divisors (28448796816).

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

10200666960 is a wasteful number, since it uses less digits than its factorization.

10200666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143143 (or 143128 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10200666960 in words is "ten billion, two hundred million, six hundred sixty-six thousand, nine hundred sixty".