10190541370752 has 256 divisors, whose sum is σ = 31087712102400. Its totient is φ = 3282902784000.

The previous prime is 10190541370741. The next prime is 10190541370759. The reversal of 10190541370752 is 25707314509101.

10190541370752 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 541 + 37 + 0 + 75 + 2 = 666.

It is a super-2 number, since 2×10190541370752² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10190541370698 and 10190541370707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190541370759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81039127 + ... + 81164777.

It is an arithmetic number, because the mean of its divisors is an integer number (121436375400).

Almost surely, 2^{10190541370752} is an apocalyptic number.

10190541370752 is a gapful number since it is divisible by the number (12) 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 10190541370752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543856051200).

10190541370752 is an abundant number, since it is smaller than the sum of its proper divisors (20897170731648).

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

10190541370752 is a wasteful number, since it uses less digits than its factorization.

10190541370752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126462 (or 126444 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

Adding to 10190541370752 its reverse (25707314509101), we get a palindrome (35897855879853).

The spelling of 10190541370752 in words is "ten trillion, one hundred ninety billion, five hundred forty-one million, three hundred seventy thousand, seven hundred fifty-two".