10325193120 has 960 divisors, whose sum is σ = 42995183616. Its totient is φ = 2308331520.

The previous prime is 10325193103. The next prime is 10325193149. The reversal of 10325193120 is 2139152301.

10325193120 is a `hidden beast` number, since 10 + 325 + 19 + 312 + 0 = 666.

It is a super-2 number, since 2×10325193120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154107327 + ... + 154107393.

Almost surely, 2^10325193120 is an apocalyptic number.

10325193120 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 10325193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21497591808).

10325193120 is an abundant number, since it is smaller than the sum of its proper divisors (32669990496).

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

10325193120 is a wasteful number, since it uses less digits than its factorization.

10325193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10325193120 in words is "ten billion, three hundred twenty-five million, one hundred ninety-three thousand, one hundred twenty".