10553661720 has 480 divisors, whose sum is σ = 42818608800. Its totient is φ = 2283531264.

The previous prime is 10553661709. The next prime is 10553661721. The reversal of 10553661720 is 2716635501.

10553661720 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 36 + 617 + 2 + 0 = 666.

It is a super-2 number, since 2×10553661720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553661721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8186836 + ... + 8188124.

It is an arithmetic number, because the mean of its divisors is an integer number (89205435).

Almost surely, 2^10553661720 is an apocalyptic number.

10553661720 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 10553661720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409304400).

10553661720 is an abundant number, since it is smaller than the sum of its proper divisors (32264947080).

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

10553661720 is a wasteful number, since it uses less digits than its factorization.

10553661720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10553661720 in words is "ten billion, five hundred fifty-three million, six hundred sixty-one thousand, seven hundred twenty".