11078020800 has 1008 divisors, whose sum is σ = 50077128192. Its totient is φ = 2256076800.

The previous prime is 11078020783. The next prime is 11078020823. The reversal of 11078020800 is 802087011.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107553549 + ... + 107553651.

Almost surely, 2^11078020800 is an apocalyptic number.

11078020800 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 11078020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038564096).

11078020800 is an abundant number, since it is smaller than the sum of its proper divisors (38999107392).

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

11078020800 is a wasteful number, since it uses less digits than its factorization.

11078020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11078020800 in words is "eleven billion, seventy-eight million, twenty thousand, eight hundred".