11245550400 has 504 divisors, whose sum is σ = 47266677120. Its totient is φ = 2481131520.

The previous prime is 11245550369. The next prime is 11245550431. The reversal of 11245550400 is 405554211.

11245550400 is a `hidden beast` number, since 11 + 245 + 5 + 5 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (11245550369) and next prime (11245550431).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2921277 + ... + 2925123.

Almost surely, 2^11245550400 is an apocalyptic number.

11245550400 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 11245550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633338560).

11245550400 is an abundant number, since it is smaller than the sum of its proper divisors (36021126720).

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

11245550400 is a wasteful number, since it uses less digits than its factorization.

11245550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 11245550400 in words is "eleven billion, two hundred forty-five million, five hundred fifty thousand, four hundred".