10010086198224 has 320 divisors, whose sum is σ = 30174768691200. Its totient is φ = 2800326445056.

The previous prime is 10010086198199. The next prime is 10010086198243. The reversal of 10010086198224 is 42289168001001.

It is a super-2 number, since 2×10010086198224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8607124267 + ... + 8607125429.

It is an arithmetic number, because the mean of its divisors is an integer number (94296152160).

Almost surely, 2^{10010086198224} is an apocalyptic number.

10010086198224 is a gapful number since it is divisible by the number (14) 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 10010086198224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087384345600).

10010086198224 is an abundant number, since it is smaller than the sum of its proper divisors (20164682492976).

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

10010086198224 is a wasteful number, since it uses less digits than its factorization.

10010086198224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 10010086198224 in words is "ten trillion, ten billion, eighty-six million, one hundred ninety-eight thousand, two hundred twenty-four".