10130977183104 has 768 divisors, whose sum is σ = 31661570304000. Its totient is φ = 3220980940800.

The previous prime is 10130977183079. The next prime is 10130977183121. The reversal of 10130977183104 is 40138177903101.

10130977183104 is a `hidden beast` number, since 10 + 1 + 309 + 7 + 7 + 18 + 310 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10130977183104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36053299444 + ... + 36053299724.

It is an arithmetic number, because the mean of its divisors is an integer number (41226003000).

Almost surely, 2^{10130977183104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130977183104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830785152000).

10130977183104 is an abundant number, since it is smaller than the sum of its proper divisors (21530593120896).

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

10130977183104 is a wasteful number, since it uses less digits than its factorization.

10130977183104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10130977183104 in words is "ten trillion, one hundred thirty billion, nine hundred seventy-seven million, one hundred eighty-three thousand, one hundred four".