11284526400 has 672 divisors, whose sum is σ = 45097232640. Its totient is φ = 2415329280.

The previous prime is 11284526399. The next prime is 11284526431. The reversal of 11284526400 is 462548211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36052644 + ... + 36052956.

Almost surely, 2^11284526400 is an apocalyptic number.

11284526400 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 11284526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548616320).

11284526400 is an abundant number, since it is smaller than the sum of its proper divisors (33812706240).

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

11284526400 is a wasteful number, since it uses less digits than its factorization.

11284526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 11284526400 in words is "eleven billion, two hundred eighty-four million, five hundred twenty-six thousand, four hundred".