10250255400 has 768 divisors, whose sum is σ = 43402936320. Its totient is φ = 1935360000.

The previous prime is 10250255387. The next prime is 10250255423. The reversal of 10250255400 is 455205201.

It is a happy number.

10250255400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 24347190 + ... + 24347610.

It is an arithmetic number, because the mean of its divisors is an integer number (56514240).

Almost surely, 2^10250255400 is an apocalyptic number.

10250255400 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 10250255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21701468160).

10250255400 is an abundant number, since it is smaller than the sum of its proper divisors (33152680920).

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

10250255400 is a wasteful number, since it uses less digits than its factorization.

10250255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 10250255400 in words is "ten billion, two hundred fifty million, two hundred fifty-five thousand, four hundred".