10124193635792 has 40 divisors (see below), whose sum is σ = 20011309272360. Its totient is φ = 4960601786880.

The previous prime is 10124193635791. The next prime is 10124193635807. The reversal of 10124193635792 is 29753639142101.

It can be written as a sum of positive squares in 4 ways, for example, as 252683160976 + 9871510474816 = 502676^2 + 3141896^2 .

It is a super-2 number, since 2×10124193635792² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124193635791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19018403 + ... + 19543490.

It is an arithmetic number, because the mean of its divisors is an integer number (500282731809).

Almost surely, 2^{10124193635792} is an apocalyptic number.

It is an amenable number.

10124193635792 is a deficient number, since it is larger than the sum of its proper divisors (9887115636568).

10124193635792 is a wasteful number, since it uses less digits than its factorization.

10124193635792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38562231 (or 38562225 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 10124193635792 in words is "ten trillion, one hundred twenty-four billion, one hundred ninety-three million, six hundred thirty-five thousand, seven hundred ninety-two".