11255462400 has 480 divisors, whose sum is σ = 45776320128. Its totient is φ = 2374041600.

The previous prime is 11255462399. The next prime is 11255462411. The reversal of 11255462400 is 426455211.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3492790 + ... + 3496010.

Almost surely, 2^11255462400 is an apocalyptic number.

11255462400 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 11255462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888160064).

11255462400 is an abundant number, since it is smaller than the sum of its proper divisors (34520857728).

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

11255462400 is a wasteful number, since it uses less digits than its factorization.

11255462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 11255462400 in words is "eleven billion, two hundred fifty-five million, four hundred sixty-two thousand, four hundred".