10098712810368 has 2048 divisors, whose sum is σ = 39820225536000. Its totient is φ = 2446882504704.

The previous prime is 10098712810327. The next prime is 10098712810379. The reversal of 10098712810368 is 86301821789001.

10098712810368 is a `hidden beast` number, since 100 + 98 + 7 + 12 + 81 + 0 + 368 = 666.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25960701118 + ... + 25960701506.

It is an arithmetic number, because the mean of its divisors is an integer number (19443469500).

Almost surely, 2^{10098712810368} is an apocalyptic number.

10098712810368 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 10098712810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910112768000).

10098712810368 is an abundant number, since it is smaller than the sum of its proper divisors (29721512725632).

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

10098712810368 is a wasteful number, since it uses less digits than its factorization.

10098712810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10098712810368 in words is "ten trillion, ninety-eight billion, seven hundred twelve million, eight hundred ten thousand, three hundred sixty-eight".