10239925893120 has 2304 divisors, whose sum is σ = 46429044480000. Its totient is φ = 2095125626880.

The previous prime is 10239925893091. The next prime is 10239925893179. The reversal of 10239925893120 is 2139852993201.

10239925893120 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 9 + 2 + 589 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17095034581 + ... + 17095035179.

It is an arithmetic number, because the mean of its divisors is an integer number (20151495000).

Almost surely, 2^{10239925893120} is an apocalyptic number.

10239925893120 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 10239925893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214522240000).

10239925893120 is an abundant number, since it is smaller than the sum of its proper divisors (36189118586880).

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

10239925893120 is a wasteful number, since it uses less digits than its factorization.

10239925893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 10239925893120 in words is "ten trillion, two hundred thirty-nine billion, nine hundred twenty-five million, eight hundred ninety-three thousand, one hundred twenty".