11073026800 has 120 divisors (see below), whose sum is σ = 29161383552. Its totient is φ = 4007136000.

The previous prime is 11073026773. The next prime is 11073026807. The reversal of 11073026800 is 862037011.

It is a super-2 number, since 2×11073026800² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073026807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922437 + ... + 934363.

Almost surely, 2^11073026800 is an apocalyptic number.

11073026800 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 11073026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580691776).

11073026800 is an abundant number, since it is smaller than the sum of its proper divisors (18088356752).

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

11073026800 is a wasteful number, since it uses less digits than its factorization.

11073026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12167 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 11073026800 in words is "eleven billion, seventy-three million, twenty-six thousand, eight hundred".