1008850815120 has 320 divisors, whose sum is σ = 3260157050880. Its totient is φ = 257865713664.

The previous prime is 1008850815103. The next prime is 1008850815143. The reversal of 1008850815120 is 215180588001.

It is a super-2 number, since 2×1008850815120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429845787 + ... + 429848133.

It is an arithmetic number, because the mean of its divisors is an integer number (10187990784).

Almost surely, 2^{1008850815120} is an apocalyptic number.

1008850815120 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 1008850815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630078525440).

1008850815120 is an abundant number, since it is smaller than the sum of its proper divisors (2251306235760).

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

1008850815120 is a wasteful number, since it uses less digits than its factorization.

1008850815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 39.

The spelling of 1008850815120 in words is "one trillion, eight billion, eight hundred fifty million, eight hundred fifteen thousand, one hundred twenty".