10241925120 has 784 divisors, whose sum is σ = 42975885600. Its totient is φ = 2341011456.

The previous prime is 10241925097. The next prime is 10241925121. The reversal of 10241925120 is 2152914201.

10241925120 is a `hidden beast` number, since 102 + 41 + 9 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241925121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1463132157 + ... + 1463132163.

Almost surely, 2^10241925120 is an apocalyptic number.

10241925120 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 10241925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21487942800).

10241925120 is an abundant number, since it is smaller than the sum of its proper divisors (32733960480).

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

10241925120 is an frugal number, since it uses more digits than its factorization.

10241925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10241925120 in words is "ten billion, two hundred forty-one million, nine hundred twenty-five thousand, one hundred twenty".