10130988344256 has 560 divisors, whose sum is σ = 33513096133440. Its totient is φ = 3004669624320.

The previous prime is 10130988344203. The next prime is 10130988344287. The reversal of 10130988344256 is 65244388903101.

It is a happy number.

10130988344256 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 98 + 83 + 442 + 5 + 6 = 666.

10130988344256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 1252745845 + ... + 1252753931.

It is an arithmetic number, because the mean of its divisors is an integer number (59844814524).

Almost surely, 2^{10130988344256} is an apocalyptic number.

10130988344256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130988344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756548066720).

10130988344256 is an abundant number, since it is smaller than the sum of its proper divisors (23382107789184).

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

10130988344256 is a wasteful number, since it uses less digits than its factorization.

10130988344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10130988344256 in words is "ten trillion, one hundred thirty billion, nine hundred eighty-eight million, three hundred forty-four thousand, two hundred fifty-six".