10666885950 has 864 divisors, whose sum is σ = 38900010240. Its totient is φ = 2155507200.

The previous prime is 10666885903. The next prime is 10666885981. The reversal of 10666885950 is 5958866601.

It is a happy number.

It is a super-2 number, since 2×10666885950² (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 260167930 + ... + 260167970.

It is an arithmetic number, because the mean of its divisors is an integer number (45023160).

Almost surely, 2^10666885950 is an apocalyptic number.

10666885950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666885950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

10666885950 is an abundant number, since it is smaller than the sum of its proper divisors (28233124290).

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

10666885950 is a wasteful number, since it uses less digits than its factorization.

10666885950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 10666885950 in words is "ten billion, six hundred sixty-six million, eight hundred eighty-five thousand, nine hundred fifty".