11564041977280 has 224 divisors, whose sum is σ = 29913254977536. Its totient is φ = 4232685735936.

The previous prime is 11564041977259. The next prime is 11564041977283. The reversal of 11564041977280 is 8277914046511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11564041977283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690505867 + ... + 690522613.

It is an arithmetic number, because the mean of its divisors is an integer number (133541316864).

Almost surely, 2^{11564041977280} is an apocalyptic number.

11564041977280 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 11564041977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956627488768).

11564041977280 is an abundant number, since it is smaller than the sum of its proper divisors (18349213000256).

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

11564041977280 is a wasteful number, since it uses less digits than its factorization.

11564041977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211 (or 18201 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 11564041977280 in words is "eleven trillion, five hundred sixty-four billion, forty-one million, nine hundred seventy-seven thousand, two hundred eighty".