10398271968 has 720 divisors, whose sum is σ = 38932185600. Its totient is φ = 2704181760.

The previous prime is 10398271957. The next prime is 10398271973. The reversal of 10398271968 is 86917289301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74807643 + ... + 74807781.

It is an arithmetic number, because the mean of its divisors is an integer number (54072480).

Almost surely, 2^10398271968 is an apocalyptic number.

10398271968 is a gapful number since it is divisible by the number (18) 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 10398271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466092800).

10398271968 is an abundant number, since it is smaller than the sum of its proper divisors (28533913632).

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

10398271968 is a wasteful number, since it uses less digits than its factorization.

10398271968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10398271968 in words is "ten billion, three hundred ninety-eight million, two hundred seventy-one thousand, nine hundred sixty-eight".