10170997920 has 288 divisors, whose sum is σ = 37430527680. Its totient is φ = 2506567680.

The previous prime is 10170997909. The next prime is 10170997973. The reversal of 10170997920 is 2979907101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117227 + ... + 1126293.

It is an arithmetic number, because the mean of its divisors is an integer number (129967110).

Almost surely, 2^10170997920 is an apocalyptic number.

10170997920 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 10170997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715263840).

10170997920 is an abundant number, since it is smaller than the sum of its proper divisors (27259529760).

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

10170997920 is a wasteful number, since it uses less digits than its factorization.

10170997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The spelling of 10170997920 in words is "ten billion, one hundred seventy million, nine hundred ninety-seven thousand, nine hundred twenty".