10365361680 has 80 divisors (see below), whose sum is σ = 32167048320. Its totient is φ = 2761135104.

The previous prime is 10365361679. The next prime is 10365361681. The reversal of 10365361680 is 8616356301.

It is an interprime number because it is at equal distance from previous prime (10365361679) and next prime (10365361681).

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

It is not an unprimeable number, because it can be changed into a prime (10365361681) 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, 206061 + ... + 251379.

It is an arithmetic number, because the mean of its divisors is an integer number (402088104).

Almost surely, 2^10365361680 is an apocalyptic number.

10365361680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10365361680 is an abundant number, since it is smaller than the sum of its proper divisors (21801686640).

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

10365361680 is a wasteful number, since it uses less digits than its factorization.

10365361680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46288 (or 46282 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 10365361680 in words is "ten billion, three hundred sixty-five million, three hundred sixty-one thousand, six hundred eighty".