10890849600 has 672 divisors, whose sum is σ = 42224797440. Its totient is φ = 2724986880.

The previous prime is 10890849569. The next prime is 10890849617. The reversal of 10890849600 is 694809801.

It is a super-2 number, since 2×10890849600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96379144 + ... + 96379256.

It is an arithmetic number, because the mean of its divisors is an integer number (62834520).

Almost surely, 2^10890849600 is an apocalyptic number.

10890849600 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 10890849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112398720).

10890849600 is an abundant number, since it is smaller than the sum of its proper divisors (31333947840).

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

10890849600 is a wasteful number, since it uses less digits than its factorization.

10890849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10890849600 in words is "ten billion, eight hundred ninety million, eight hundred forty-nine thousand, six hundred".