10174011120 has 480 divisors, whose sum is σ = 42924336000. Its totient is φ = 2145927168.

The previous prime is 10174011079. The next prime is 10174011137. The reversal of 10174011120 is 2111047101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10174011093 and 10174011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3208896 + ... + 3212064.

It is an arithmetic number, because the mean of its divisors is an integer number (89425700).

Almost surely, 2^10174011120 is an apocalyptic number.

10174011120 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 10174011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21462168000).

10174011120 is an abundant number, since it is smaller than the sum of its proper divisors (32750324880).

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

10174011120 is a wasteful number, since it uses less digits than its factorization.

10174011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 10174011120 its reverse (2111047101), we get a palindrome (12285058221).

The spelling of 10174011120 in words is "ten billion, one hundred seventy-four million, eleven thousand, one hundred twenty".