11477410560 has 1152 divisors, whose sum is σ = 53686886400. Its totient is φ = 2249441280.

The previous prime is 11477410523. The next prime is 11477410631. The reversal of 11477410560 is 6501477411.

11477410560 is a `hidden beast` number, since 1 + 14 + 7 + 74 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50561167 + ... + 50561393.

It is an arithmetic number, because the mean of its divisors is an integer number (46603200).

Almost surely, 2^11477410560 is an apocalyptic number.

11477410560 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 11477410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26843443200).

11477410560 is an abundant number, since it is smaller than the sum of its proper divisors (42209475840).

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

11477410560 is a wasteful number, since it uses less digits than its factorization.

11477410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 11477410560 its reverse (6501477411), we get a palindrome (17978887971).

The spelling of 11477410560 in words is "eleven billion, four hundred seventy-seven million, four hundred ten thousand, five hundred sixty".