10647810255600 has 720 divisors, whose sum is σ = 43932651130368. Its totient is φ = 2426058501120.

The previous prime is 10647810255583. The next prime is 10647810255623. The reversal of 10647810255600 is 655201874601.

10647810255600 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 7 + 8 + 10 + 25 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10647810255600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215662117 + ... + 215711483.

Almost surely, 2^{10647810255600} is an apocalyptic number.

10647810255600 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 10647810255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21966325565184).

10647810255600 is an abundant number, since it is smaller than the sum of its proper divisors (33284840874768).

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

10647810255600 is a wasteful number, since it uses less digits than its factorization.

10647810255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49724 (or 49701 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10647810255600 in words is "ten trillion, six hundred forty-seven billion, eight hundred ten million, two hundred fifty-five thousand, six hundred".