11278310400 has 1188 divisors, whose sum is σ = 50031021768. Its totient is φ = 2508226560.

The previous prime is 11278310371. The next prime is 11278310413. The reversal of 11278310400 is 401387211.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304819182 + ... + 304819218.

Almost surely, 2^11278310400 is an apocalyptic number.

11278310400 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 11278310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25015510884).

11278310400 is an abundant number, since it is smaller than the sum of its proper divisors (38752711368).

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

11278310400 is an equidigital number, since it uses as much as digits as its factorization.

11278310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11278310400 its reverse (401387211), we get a palindrome (11679697611).

The spelling of 11278310400 in words is "eleven billion, two hundred seventy-eight million, three hundred ten thousand, four hundred".