10130199125760 has 864 divisors, whose sum is σ = 43525089054720. Its totient is φ = 2122835558400.

The previous prime is 10130199125749. The next prime is 10130199125777. The reversal of 10130199125760 is 6752199103101.

10130199125760 is a `hidden beast` number, since 1 + 0 + 1 + 301 + 9 + 91 + 257 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47390320 + ... + 47603600.

It is an arithmetic number, because the mean of its divisors is an integer number (50376260480).

Almost surely, 2^{10130199125760} is an apocalyptic number.

10130199125760 is a gapful number since it is divisible by the number (10) 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 10130199125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762544527360).

10130199125760 is an abundant number, since it is smaller than the sum of its proper divisors (33394889928960).

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

10130199125760 is a wasteful number, since it uses less digits than its factorization.

10130199125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213365 (or 213348 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 10130199125760 in words is "ten trillion, one hundred thirty billion, one hundred ninety-nine million, one hundred twenty-five thousand, seven hundred sixty".