11055749400 has 384 divisors, whose sum is σ = 40834886400. Its totient is φ = 2739456000.

The previous prime is 11055749399. The next prime is 11055749407. The reversal of 11055749400 is 494755011.

11055749400 is a `hidden beast` number, since 1 + 10 + 557 + 4 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055749407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7618675 + ... + 7620125.

It is an arithmetic number, because the mean of its divisors is an integer number (106340850).

Almost surely, 2^11055749400 is an apocalyptic number.

11055749400 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 11055749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417443200).

11055749400 is an abundant number, since it is smaller than the sum of its proper divisors (29779137000).

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

11055749400 is a wasteful number, since it uses less digits than its factorization.

11055749400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11055749400 in words is "eleven billion, fifty-five million, seven hundred forty-nine thousand, four hundred".