10689085400 has 288 divisors, whose sum is σ = 30457425600. Its totient is φ = 3473971200.

The previous prime is 10689085391. The next prime is 10689085409. The reversal of 10689085400 is 458098601.

It is an interprime number because it is at equal distance from previous prime (10689085391) and next prime (10689085409).

It is a super-2 number, since 2×10689085400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689085409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14866241 + ... + 14866959.

It is an arithmetic number, because the mean of its divisors is an integer number (105754950).

Almost surely, 2^10689085400 is an apocalyptic number.

10689085400 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 10689085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228712800).

10689085400 is an abundant number, since it is smaller than the sum of its proper divisors (19768340200).

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

10689085400 is a wasteful number, since it uses less digits than its factorization.

10689085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 10689085400 in words is "ten billion, six hundred eighty-nine million, eighty-five thousand, four hundred".