10688162220 has 120 divisors (see below), whose sum is σ = 33715329648. Its totient is φ = 2834352000.

The previous prime is 10688162209. The next prime is 10688162227. The reversal of 10688162220 is 2226188601.

10688162220 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 1 + 622 + 20 = 666.

It is a super-2 number, since 2×10688162220² (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 not an unprimeable number, because it can be changed into a prime (10688162227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274995 + ... + 311445.

Almost surely, 2^10688162220 is an apocalyptic number.

10688162220 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 10688162220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857664824).

10688162220 is an abundant number, since it is smaller than the sum of its proper divisors (23027167428).

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

10688162220 is a wasteful number, since it uses less digits than its factorization.

10688162220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36653 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10688162220 in words is "ten billion, six hundred eighty-eight million, one hundred sixty-two thousand, two hundred twenty".