10018221582096 has 1920 divisors, whose sum is σ = 39186641894400. Its totient is φ = 2314257039360.

The previous prime is 10018221582077. The next prime is 10018221582157. The reversal of 10018221582096 is 69028512281001.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28870955395 + ... + 28870955741.

It is an arithmetic number, because the mean of its divisors is an integer number (20409709320).

Almost surely, 2^{10018221582096} is an apocalyptic number.

10018221582096 is a gapful number since it is divisible by the number (16) 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 10018221582096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593320947200).

10018221582096 is an abundant number, since it is smaller than the sum of its proper divisors (29168420312304).

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

10018221582096 is a wasteful number, since it uses less digits than its factorization.

10018221582096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10018221582096 in words is "ten trillion, eighteen billion, two hundred twenty-one million, five hundred eighty-two thousand, ninety-six".