11288578080 has 432 divisors, whose sum is σ = 40348917504. Its totient is φ = 2648954880.

The previous prime is 11288578061. The next prime is 11288578097. The reversal of 11288578080 is 8087588211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168486207 + ... + 168486273.

It is an arithmetic number, because the mean of its divisors is an integer number (93400272).

Almost surely, 2^11288578080 is an apocalyptic number.

11288578080 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 11288578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174458752).

11288578080 is an abundant number, since it is smaller than the sum of its proper divisors (29060339424).

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

11288578080 is a wasteful number, since it uses less digits than its factorization.

11288578080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 48.

The spelling of 11288578080 in words is "eleven billion, two hundred eighty-eight million, five hundred seventy-eight thousand, eighty".