10661650272 has 864 divisors, whose sum is σ = 41629835520. Its totient is φ = 2620200960.

The previous prime is 10661650271. The next prime is 10661650301. The reversal of 10661650272 is 27205616601.

It is a happy number.

10661650272 is a `hidden beast` number, since 10 + 6 + 616 + 5 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10661650272² (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 (10661650271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174781122 + ... + 174781182.

It is an arithmetic number, because the mean of its divisors is an integer number (48182680).

Almost surely, 2^10661650272 is an apocalyptic number.

10661650272 is a gapful number since it is divisible by the number (12) 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 10661650272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814917760).

10661650272 is an abundant number, since it is smaller than the sum of its proper divisors (30968185248).

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

10661650272 is a wasteful number, since it uses less digits than its factorization.

10661650272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10661650272 in words is "ten billion, six hundred sixty-one million, six hundred fifty thousand, two hundred seventy-two".