10095350070080 has 112 divisors (see below), whose sum is σ = 26237257615296. Its totient is φ = 3669315809280.

The previous prime is 10095350070031. The next prime is 10095350070089. The reversal of 10095350070080 is 8007005359001.

It is a super-2 number, since 2×10095350070080² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095350070089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6851207 + ... + 8193273.

It is an arithmetic number, because the mean of its divisors is an integer number (234261228708).

Almost surely, 2^{10095350070080} is an apocalyptic number.

10095350070080 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 10095350070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118628807648).

10095350070080 is an abundant number, since it is smaller than the sum of its proper divisors (16141907545216).

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

10095350070080 is a wasteful number, since it uses less digits than its factorization.

10095350070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344232 (or 1344222 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 10095350070080 in words is "ten trillion, ninety-five billion, three hundred fifty million, seventy thousand, eighty".