11436778560 has 224 divisors, whose sum is σ = 38657613312. Its totient is φ = 2854748160.

The previous prime is 11436778523. The next prime is 11436778583. The reversal of 11436778560 is 6587763411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3147945 + ... + 3151575.

Almost surely, 2^11436778560 is an apocalyptic number.

11436778560 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 11436778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328806656).

11436778560 is an abundant number, since it is smaller than the sum of its proper divisors (27220834752).

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

11436778560 is a wasteful number, since it uses less digits than its factorization.

11436778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 11436778560 in words is "eleven billion, four hundred thirty-six million, seven hundred seventy-eight thousand, five hundred sixty".