10098271638 has 192 divisors, whose sum is σ = 28198969344. Its totient is φ = 2540160000.

The previous prime is 10098271619. The next prime is 10098271649. The reversal of 10098271638 is 83617289001.

10098271638 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 2 + 7 + 1 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10098271593 and 10098271602.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3603838 + ... + 3606638.

It is an arithmetic number, because the mean of its divisors is an integer number (146869632).

Almost surely, 2^10098271638 is an apocalyptic number.

10098271638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098271638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099484672).

10098271638 is an abundant number, since it is smaller than the sum of its proper divisors (18100697706).

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

10098271638 is a wasteful number, since it uses less digits than its factorization.

10098271638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10098271638 in words is "ten billion, ninety-eight million, two hundred seventy-one thousand, six hundred thirty-eight".