10499394328200 has 120 divisors (see below), whose sum is σ = 36465952023930. Its totient is φ = 2799838483200.

The previous prime is 10499394328169. The next prime is 10499394328231. The reversal of 10499394328200 is 282349399401.

10499394328200 is a `hidden beast` number, since 1 + 0 + 49 + 9 + 394 + 3 + 2 + 8 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (10499394328169) and next prime (10499394328231).

It can be written as a sum of positive squares in 3 ways, for example, as 7427009364516 + 3072384963684 = 2725254^2 + 1752822^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10499394328200² (a number of 27 digits) contains 22 as substring.

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

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 29 ways as a sum of consecutive naturals, for example, 324039181 + ... + 324071580.

Almost surely, 2^{10499394328200} is an apocalyptic number.

10499394328200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10499394328200 is an abundant number, since it is smaller than the sum of its proper divisors (25966557695730).

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

10499394328200 is a wasteful number, since it uses less digits than its factorization.

10499394328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648110789 (or 648110771 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10499394328200 in words is "ten trillion, four hundred ninety-nine billion, three hundred ninety-four million, three hundred twenty-eight thousand, two hundred".