10498675921200 has 360 divisors, whose sum is σ = 38031194597760. Its totient is φ = 2678891212800.

The previous prime is 10498675921141. The next prime is 10498675921213. The reversal of 10498675921200 is 212957689401.

It is a happy number.

10498675921200 is a `hidden beast` number, since 1 + 0 + 49 + 8 + 6 + 7 + 592 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10498675921200² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 9403894 + ... + 10460906.

It is an arithmetic number, because the mean of its divisors is an integer number (105642207216).

Almost surely, 2^{10498675921200} is an apocalyptic number.

10498675921200 is a gapful number since it is divisible by the number (10) 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 10498675921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015597298880).

10498675921200 is an abundant number, since it is smaller than the sum of its proper divisors (27532518676560).

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

10498675921200 is a wasteful number, since it uses less digits than its factorization.

10498675921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057157 (or 1057143 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10498675921200 in words is "ten trillion, four hundred ninety-eight billion, six hundred seventy-five million, nine hundred twenty-one thousand, two hundred".