11477459436960 has 384 divisors, whose sum is σ = 41194503383040. Its totient is φ = 2658920140800.

The previous prime is 11477459436953. The next prime is 11477459436967. The reversal of 11477459436960 is 6963495477411.

It is an interprime number because it is at equal distance from previous prime (11477459436953) and next prime (11477459436967).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11477459436891 and 11477459436900.

It is not an unprimeable number, because it can be changed into a prime (11477459436967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129775155 + ... + 129863565.

It is an arithmetic number, because the mean of its divisors is an integer number (107277352560).

Almost surely, 2^{11477459436960} is an apocalyptic number.

11477459436960 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 11477459436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597251691520).

11477459436960 is an abundant number, since it is smaller than the sum of its proper divisors (29717043946080).

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

11477459436960 is a wasteful number, since it uses less digits than its factorization.

11477459436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89532 (or 89524 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 11477459436960 in words is "eleven trillion, four hundred seventy-seven billion, four hundred fifty-nine million, four hundred thirty-six thousand, nine hundred sixty".