13075126856190 has 192 divisors, whose sum is σ = 39301898388480. Its totient is φ = 2954001093120.

The previous prime is 13075126856167. The next prime is 13075126856191. The reversal of 13075126856190 is 9165862157031.

13075126856190 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 5 + 12 + 6 + 8 + 5 + 619 + 0 = 666.

It is a super-2 number, since 2×13075126856190² (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 (13075126856191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168788047 + ... + 168865493.

It is an arithmetic number, because the mean of its divisors is an integer number (204697387440).

Almost surely, 2^{13075126856190} is an apocalyptic number.

13075126856190 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 13075126856190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19650949194240).

13075126856190 is an abundant number, since it is smaller than the sum of its proper divisors (26226771532290).

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

13075126856190 is a wasteful number, since it uses less digits than its factorization.

13075126856190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80567 (or 80564 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 13075126856190 in words is "thirteen trillion, seventy-five billion, one hundred twenty-six million, eight hundred fifty-six thousand, one hundred ninety".