11361574400 has 480 divisors, whose sum is σ = 33610705920. Its totient is φ = 3760128000.

The previous prime is 11361574397. The next prime is 11361574403. The reversal of 11361574400 is 447516311.

It is an interprime number because it is at equal distance from previous prime (11361574397) and next prime (11361574403).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361574403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82931132 + ... + 82931268.

It is an arithmetic number, because the mean of its divisors is an integer number (70022304).

Almost surely, 2^11361574400 is an apocalyptic number.

11361574400 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 11361574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805352960).

11361574400 is an abundant number, since it is smaller than the sum of its proper divisors (22249131520).

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

11361574400 is a wasteful number, since it uses less digits than its factorization.

11361574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 11361574400 in words is "eleven billion, three hundred sixty-one million, five hundred seventy-four thousand, four hundred".