11075282400 has 1152 divisors, whose sum is σ = 49766814720. Its totient is φ = 2070282240.

The previous prime is 11075282389. The next prime is 11075282423. The reversal of 11075282400 is 428257011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70543122 + ... + 70543278.

It is an arithmetic number, because the mean of its divisors is an integer number (43200360).

Almost surely, 2^11075282400 is an apocalyptic number.

11075282400 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 11075282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883407360).

11075282400 is an abundant number, since it is smaller than the sum of its proper divisors (38691532320).

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

11075282400 is a wasteful number, since it uses less digits than its factorization.

11075282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 11075282400 in words is "eleven billion, seventy-five million, two hundred eighty-two thousand, four hundred".