915225105600 has 1512 divisors, whose sum is σ = 3832912334160. Its totient is φ = 205628129280.

The previous prime is 915225105559. The next prime is 915225105659. The reversal of 915225105600 is 6501522519.

915225105600 is a `hidden beast` number, since 9 + 15 + 2 + 25 + 10 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 1959796567 + ... + 1959797033.

It is an arithmetic number, because the mean of its divisors is an integer number (2534994930).

Almost surely, 2^915225105600 is an apocalyptic number.

915225105600 is a gapful number since it is divisible by the number (90) 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 915225105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916456167080).

915225105600 is an abundant number, since it is smaller than the sum of its proper divisors (2917687228560).

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

915225105600 is a wasteful number, since it uses less digits than its factorization.

915225105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 915225105600 in words is "nine hundred fifteen billion, two hundred twenty-five million, one hundred five thousand, six hundred".