11555774400 has 168 divisors, whose sum is σ = 37961498880. Its totient is φ = 3077565440.

The previous prime is 11555774393. The next prime is 11555774401. The reversal of 11555774400 is 447755511.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11555774401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7136791 + ... + 7138409.

Almost surely, 2^11555774400 is an apocalyptic number.

11555774400 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 11555774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980749440).

11555774400 is an abundant number, since it is smaller than the sum of its proper divisors (26405724480).

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

11555774400 is a wasteful number, since it uses less digits than its factorization.

11555774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The spelling of 11555774400 in words is "eleven billion, five hundred fifty-five million, seven hundred seventy-four thousand, four hundred".