11455550400 has 168 divisors, whose sum is σ = 42952984960. Its totient is φ = 2618403840.

The previous prime is 11455550399. The next prime is 11455550401. The reversal of 11455550400 is 405555411.

11455550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11455550399) and next prime (11455550401).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11455550401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136870 + ... + 204069.

Almost surely, 2^11455550400 is an apocalyptic number.

11455550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11455550400 is an abundant number, since it is smaller than the sum of its proper divisors (31497434560).

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

11455550400 is a wasteful number, since it uses less digits than its factorization.

11455550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340971 (or 340956 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 11455550400 in words is "eleven billion, four hundred fifty-five million, five hundred fifty thousand, four hundred".