10725167025300 has 432 divisors, whose sum is σ = 40215129816960. Its totient is φ = 2184860482560.

The previous prime is 10725167025289. The next prime is 10725167025341. The reversal of 10725167025300 is 352076152701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4574257 + ... + 6509543.

It is an arithmetic number, because the mean of its divisors is an integer number (93090578280).

Almost surely, 2^{10725167025300} is an apocalyptic number.

10725167025300 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 10725167025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20107564908480).

10725167025300 is an abundant number, since it is smaller than the sum of its proper divisors (29489962791660).

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

10725167025300 is a wasteful number, since it uses less digits than its factorization.

10725167025300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935360 (or 1935346 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 10725167025300 in words is "ten trillion, seven hundred twenty-five billion, one hundred sixty-seven million, twenty-five thousand, three hundred".