10250200254400 has 168 divisors, whose sum is σ = 25811038456560. Its totient is φ = 4004991344640.

The previous prime is 10250200254391. The next prime is 10250200254407. The reversal of 10250200254400 is 445200205201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10250200254407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18983356 + ... + 19515844.

It is an arithmetic number, because the mean of its divisors is an integer number (153637133670).

Almost surely, 2^{10250200254400} is an apocalyptic number.

10250200254400 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 10250200254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905519228280).

10250200254400 is an abundant number, since it is smaller than the sum of its proper divisors (15560838202160).

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

10250200254400 is a wasteful number, since it uses less digits than its factorization.

10250200254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532791 (or 532776 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 10250200254400 its reverse (445200205201), we get a palindrome (10695400459601).

The spelling of 10250200254400 in words is "ten trillion, two hundred fifty billion, two hundred million, two hundred fifty-four thousand, four hundred".