10170137980 has 96 divisors (see below), whose sum is σ = 23188032000. Its totient is φ = 3734680320.

The previous prime is 10170137963. The next prime is 10170137983. The reversal of 10170137980 is 8973107101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10170137983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588626 + ... + 1595014.

It is an arithmetic number, because the mean of its divisors is an integer number (241542000).

Almost surely, 2^10170137980 is an apocalyptic number.

10170137980 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 10170137980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594016000).

10170137980 is an abundant number, since it is smaller than the sum of its proper divisors (13017894020).

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

10170137980 is a wasteful number, since it uses less digits than its factorization.

10170137980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 10170137980 in words is "ten billion, one hundred seventy million, one hundred thirty-seven thousand, nine hundred eighty".