10066667520 has 576 divisors, whose sum is σ = 39999173760. Its totient is φ = 2116288512.

The previous prime is 10066667491. The next prime is 10066667539. The reversal of 10066667520 is 2576666001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36341622 + ... + 36341898.

It is an arithmetic number, because the mean of its divisors is an integer number (69443010).

Almost surely, 2^10066667520 is an apocalyptic number.

10066667520 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 10066667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999586880).

10066667520 is an abundant number, since it is smaller than the sum of its proper divisors (29932506240).

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

10066667520 is a wasteful number, since it uses less digits than its factorization.

10066667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10066667520 in words is "ten billion, sixty-six million, six hundred sixty-seven thousand, five hundred twenty".