10691555642040 has 256 divisors, whose sum is σ = 39480899512320. Its totient is φ = 2255550105600.

The previous prime is 10691555642021. The next prime is 10691555642099. The reversal of 10691555642040 is 4024655519601.

It is a super-2 number, since 2×10691555642040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108069477 + ... + 108168363.

It is an arithmetic number, because the mean of its divisors is an integer number (154222263720).

Almost surely, 2^{10691555642040} is an apocalyptic number.

10691555642040 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 10691555642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740449756160).

10691555642040 is an abundant number, since it is smaller than the sum of its proper divisors (28789343870280).

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

10691555642040 is a wasteful number, since it uses less digits than its factorization.

10691555642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108822 (or 108818 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 10691555642040 in words is "ten trillion, six hundred ninety-one billion, five hundred fifty-five million, six hundred forty-two thousand, forty".