10086983760 has 80 divisors (see below), whose sum is σ = 35736748416. Its totient is φ = 2305595904.

The previous prime is 10086983749. The next prime is 10086983761. The reversal of 10086983760 is 6738968001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-6 number, since 6×10086983760⁶ (a number of 61 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086983761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000399 + ... + 3003758.

Almost surely, 2^10086983760 is an apocalyptic number.

10086983760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086983760 is an abundant number, since it is smaller than the sum of its proper divisors (25649764656).

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

10086983760 is a wasteful number, since it uses less digits than its factorization.

10086983760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004180 (or 6004174 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10086983760 in words is "ten billion, eighty-six million, nine hundred eighty-three thousand, seven hundred sixty".