10109482956640 has 192 divisors, whose sum is σ = 25264390717440. Its totient is φ = 3816543744000.

The previous prime is 10109482956619. The next prime is 10109482956647. The reversal of 10109482956640 is 4665928490101.

It is a super-2 number, since 2×10109482956640² (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 (10109482956647) 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, 713989881 + ... + 714004039.

It is an arithmetic number, because the mean of its divisors is an integer number (131585368320).

Almost surely, 2^{10109482956640} is an apocalyptic number.

10109482956640 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 10109482956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632195358720).

10109482956640 is an abundant number, since it is smaller than the sum of its proper divisors (15154907760800).

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

10109482956640 is a wasteful number, since it uses less digits than its factorization.

10109482956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17757 (or 17749 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 10109482956640 in words is "ten trillion, one hundred nine billion, four hundred eighty-two million, nine hundred fifty-six thousand, six hundred forty".