10725419250 has 512 divisors, whose sum is σ = 38578176000. Its totient is φ = 2141510400.

The previous prime is 10725419249. The next prime is 10725419251. The reversal of 10725419250 is 5291452701.

10725419250 is a `hidden beast` number, since 107 + 2 + 541 + 9 + 2 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10725419249) and next prime (10725419251).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10725419251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11670291 + ... + 11671209.

It is an arithmetic number, because the mean of its divisors is an integer number (75348000).

Almost surely, 2^10725419250 is an apocalyptic number.

10725419250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10725419250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289088000).

10725419250 is an abundant number, since it is smaller than the sum of its proper divisors (27852756750).

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

10725419250 is a wasteful number, since it uses less digits than its factorization.

10725419250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10725419250 in words is "ten billion, seven hundred twenty-five million, four hundred nineteen thousand, two hundred fifty".