10725406080 has 512 divisors, whose sum is σ = 37976117760. Its totient is φ = 2563375104.

The previous prime is 10725406057. The next prime is 10725406129. The reversal of 10725406080 is 8060452701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100237387 + ... + 100237493.

It is an arithmetic number, because the mean of its divisors is an integer number (74172105).

Almost surely, 2^10725406080 is an apocalyptic number.

10725406080 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 10725406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988058880).

10725406080 is an abundant number, since it is smaller than the sum of its proper divisors (27250711680).

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

10725406080 is a wasteful number, since it uses less digits than its factorization.

10725406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 10725406080 its reverse (8060452701), we get a palindrome (18785858781).

The spelling of 10725406080 in words is "ten billion, seven hundred twenty-five million, four hundred six thousand, eighty".