10126663160800 has 36 divisors (see below), whose sum is σ = 24721716443256. Its totient is φ = 4050665264000.

The previous prime is 10126663160749. The next prime is 10126663160843. The reversal of 10126663160800 is 806136662101.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 6329163676 + ... + 6329165275.

It is an arithmetic number, because the mean of its divisors is an integer number (686714345646).

Almost surely, 2^{10126663160800} is an apocalyptic number.

10126663160800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10126663160800 is an abundant number, since it is smaller than the sum of its proper divisors (14595053282456).

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

10126663160800 is a wasteful number, since it uses less digits than its factorization.

10126663160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658328971 (or 12658328958 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 10126663160800 in words is "ten trillion, one hundred twenty-six billion, six hundred sixty-three million, one hundred sixty thousand, eight hundred".