10245514400 has 288 divisors, whose sum is σ = 29726222400. Its totient is φ = 3406233600.

The previous prime is 10245514393. The next prime is 10245514417. The reversal of 10245514400 is 441554201.

It is a self number, because there is not a number n which added to its sum of digits gives 10245514400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4847744 + ... + 4849856.

It is an arithmetic number, because the mean of its divisors is an integer number (103216050).

Almost surely, 2^10245514400 is an apocalyptic number.

10245514400 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 10245514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863111200).

10245514400 is an abundant number, since it is smaller than the sum of its proper divisors (19480708000).

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

10245514400 is a wasteful number, since it uses less digits than its factorization.

10245514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 10245514400 in words is "ten billion, two hundred forty-five million, five hundred fourteen thousand, four hundred".