11054036400 has 240 divisors, whose sum is σ = 38837930880. Its totient is φ = 2665267200.

The previous prime is 11054036381. The next prime is 11054036419. The reversal of 11054036400 is 463045011.

It is an interprime number because it is at equal distance from previous prime (11054036381) and next prime (11054036419).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2545431 + ... + 2549769.

It is an arithmetic number, because the mean of its divisors is an integer number (161824712).

Almost surely, 2^11054036400 is an apocalyptic number.

11054036400 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 11054036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418965440).

11054036400 is an abundant number, since it is smaller than the sum of its proper divisors (27783894480).

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

11054036400 is a wasteful number, since it uses less digits than its factorization.

11054036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 11054036400 in words is "eleven billion, fifty-four million, thirty-six thousand, four hundred".