11145254400 has 960 divisors, whose sum is σ = 49685391360. Its totient is φ = 2388787200.

The previous prime is 11145254377. The next prime is 11145254411. The reversal of 11145254400 is 445254111.

11145254400 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 254 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 41126265 + ... + 41126535.

It is an arithmetic number, because the mean of its divisors is an integer number (51755616).

Almost surely, 2^11145254400 is an apocalyptic number.

11145254400 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 11145254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842695680).

11145254400 is an abundant number, since it is smaller than the sum of its proper divisors (38540136960).

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

11145254400 is a wasteful number, since it uses less digits than its factorization.

11145254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 11145254400 in words is "eleven billion, one hundred forty-five million, two hundred fifty-four thousand, four hundred".