10097477829050 has 48 divisors (see below), whose sum is σ = 19243058724792. Its totient is φ = 3939727641600.

The previous prime is 10097477829001. The next prime is 10097477829073. The reversal of 10097477829050 is 5092877479001.

It can be written as a sum of positive squares in 12 ways, for example, as 1037034685801 + 9060443143249 = 1018349^2 + 3010057^2 .

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 10342592 + ... + 11276708.

Almost surely, 2^{10097477829050} is an apocalyptic number.

10097477829050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10097477829050 is a deficient number, since it is larger than the sum of its proper divisors (9145580895742).

10097477829050 is a wasteful number, since it uses less digits than its factorization.

10097477829050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939443 (or 939438 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 59.

The spelling of 10097477829050 in words is "ten trillion, ninety-seven billion, four hundred seventy-seven million, eight hundred twenty-nine thousand, fifty".