10415605200 has 1440 divisors, whose sum is σ = 48622602240. Its totient is φ = 1845043200.

The previous prime is 10415605157. The next prime is 10415605253. The reversal of 10415605200 is 250651401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 359158786 + ... + 359158814.

It is an arithmetic number, because the mean of its divisors is an integer number (33765696).

Almost surely, 2^10415605200 is an apocalyptic number.

10415605200 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 10415605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24311301120).

10415605200 is an abundant number, since it is smaller than the sum of its proper divisors (38206997040).

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

10415605200 is a wasteful number, since it uses less digits than its factorization.

10415605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10415605200 in words is "ten billion, four hundred fifteen million, six hundred five thousand, two hundred".