10725023247360 has 352 divisors, whose sum is σ = 36087738796800. Its totient is φ = 2714575503360.

The previous prime is 10725023247353. The next prime is 10725023247371. The reversal of 10725023247360 is 6374232052701.

It is a super-3 number, since 3×10725023247360³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26076915 + ... + 26485005.

Almost surely, 2^{10725023247360} is an apocalyptic number.

10725023247360 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 10725023247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043869398400).

10725023247360 is an abundant number, since it is smaller than the sum of its proper divisors (25362715549440).

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

10725023247360 is a wasteful number, since it uses less digits than its factorization.

10725023247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408207 (or 408189 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 10725023247360 in words is "ten trillion, seven hundred twenty-five billion, twenty-three million, two hundred forty-seven thousand, three hundred sixty".