10086388480 has 72 divisors (see below), whose sum is σ = 27611512992. Its totient is φ = 3458187264.

The previous prime is 10086388463. The next prime is 10086388511. The reversal of 10086388480 is 8488368001.

It is a super-3 number, since 3×10086388480³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10086388480.

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 7 ways as a sum of consecutive naturals, for example, 553897 + ... + 571816.

It is an arithmetic number, because the mean of its divisors is an integer number (383493236).

Almost surely, 2^10086388480 is an apocalyptic number.

10086388480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086388480 is an abundant number, since it is smaller than the sum of its proper divisors (17525124512).

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

10086388480 is an equidigital number, since it uses as much as digits as its factorization.

10086388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125741 (or 1125727 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 10086388480 in words is "ten billion, eighty-six million, three hundred eighty-eight thousand, four hundred eighty".