10004153045200 has 240 divisors, whose sum is σ = 25955665606080. Its totient is φ = 3694048727040.

The previous prime is 10004153045119. The next prime is 10004153045213. The reversal of 10004153045200 is 254035140001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45939774 + ... + 46157026.

It is an arithmetic number, because the mean of its divisors is an integer number (108148606692).

Almost surely, 2^{10004153045200} is an apocalyptic number.

10004153045200 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 10004153045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977832803040).

10004153045200 is an abundant number, since it is smaller than the sum of its proper divisors (15951512560880).

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

10004153045200 is a wasteful number, since it uses less digits than its factorization.

10004153045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217446 (or 217435 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10004153045200 its reverse (254035140001), we get a palindrome (10258188185201).

The spelling of 10004153045200 in words is "ten trillion, four billion, one hundred fifty-three million, forty-five thousand, two hundred".