10127924471790 has 448 divisors, whose sum is σ = 29322129600000. Its totient is φ = 2509854107904.

The previous prime is 10127924471783. The next prime is 10127924471831. The reversal of 10127924471790 is 9717442972101.

10127924471790 is a `hidden beast` number, since 1 + 0 + 1 + 27 + 9 + 2 + 447 + 179 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4895080876 + ... + 4895082944.

Almost surely, 2^{10127924471790} is an apocalyptic number.

10127924471790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127924471790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661064800000).

10127924471790 is an abundant number, since it is smaller than the sum of its proper divisors (19194205128210).

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

10127924471790 is a wasteful number, since it uses less digits than its factorization.

10127924471790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 10127924471790 in words is "ten trillion, one hundred twenty-seven billion, nine hundred twenty-four million, four hundred seventy-one thousand, seven hundred ninety".