10165877120 has 192 divisors, whose sum is σ = 29185349760. Its totient is φ = 3372687360.

The previous prime is 10165877083. The next prime is 10165877147. The reversal of 10165877120 is 2177856101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966932 + ... + 977388.

It is an arithmetic number, because the mean of its divisors is an integer number (152007030).

Almost surely, 2^10165877120 is an apocalyptic number.

10165877120 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 10165877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592674880).

10165877120 is an abundant number, since it is smaller than the sum of its proper divisors (19019472640).

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

10165877120 is a wasteful number, since it uses less digits than its factorization.

10165877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 38.

The spelling of 10165877120 in words is "ten billion, one hundred sixty-five million, eight hundred seventy-seven thousand, one hundred twenty".