10690556385600 has 4536 divisors, whose sum is σ = 52905110189568. Its totient is φ = 2067943219200.

The previous prime is 10690556385571. The next prime is 10690556385601. The reversal of 10690556385600 is 658365509601.

It is a happy number.

10690556385600 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 0 + 556 + 3 + 85 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×10690556385600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690556385601) by changing a digit.

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 647 ways as a sum of consecutive naturals, for example, 344856657585 + ... + 344856657615.

Almost surely, 2^{10690556385600} is an apocalyptic number.

10690556385600 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 10690556385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26452555094784).

10690556385600 is an abundant number, since it is smaller than the sum of its proper divisors (42214553803968).

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

10690556385600 is an equidigital number, since it uses as much as digits as its factorization.

10690556385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 10690556385600 in words is "ten trillion, six hundred ninety billion, five hundred fifty-six million, three hundred eighty-five thousand, six hundred".