10081566720 has 512 divisors, whose sum is σ = 37370678400. Its totient is φ = 2576351232.

The previous prime is 10081566713. The next prime is 10081566727. The reversal of 10081566720 is 2766518001.

10081566720 is a `hidden beast` number, since 10 + 0 + 81 + 566 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10081566713) and next prime (10081566727).

It is a tau number, because it is divible by the number of its divisors (512).

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

It is not an unprimeable number, because it can be changed into a prime (10081566727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190218214 + ... + 190218266.

Almost surely, 2^10081566720 is an apocalyptic number.

10081566720 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 10081566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685339200).

10081566720 is an abundant number, since it is smaller than the sum of its proper divisors (27289111680).

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

10081566720 is an frugal number, since it uses more digits than its factorization.

10081566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10081566720 in words is "ten billion, eighty-one million, five hundred sixty-six thousand, seven hundred twenty".