11546140400 has 120 divisors (see below), whose sum is σ = 29285052720. Its totient is φ = 4362577920.

The previous prime is 11546140387. The next prime is 11546140439. The reversal of 11546140400 is 404164511.

It is a self number, because there is not a number n which added to its sum of digits gives 11546140400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2832764 + ... + 2836836.

It is an arithmetic number, because the mean of its divisors is an integer number (244042106).

Almost surely, 2^11546140400 is an apocalyptic number.

11546140400 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 11546140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642526360).

11546140400 is an abundant number, since it is smaller than the sum of its proper divisors (17738912320).

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

11546140400 is a wasteful number, since it uses less digits than its factorization.

11546140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 11546140400 in words is "eleven billion, five hundred forty-six million, one hundred forty thousand, four hundred".