10066611520 has 112 divisors (see below), whose sum is σ = 27437413248. Its totient is φ = 3446138880.

The previous prime is 10066611517. The next prime is 10066611589. The reversal of 10066611520 is 2511666001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638855 + ... + 1644985.

It is an arithmetic number, because the mean of its divisors is an integer number (244976904).

Almost surely, 2^10066611520 is an apocalyptic number.

10066611520 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 10066611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718706624).

10066611520 is an abundant number, since it is smaller than the sum of its proper divisors (17370801728).

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

10066611520 is an equidigital number, since it uses as much as digits as its factorization.

10066611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10066611520 in words is "ten billion, sixty-six million, six hundred eleven thousand, five hundred twenty".