11407278960 has 240 divisors, whose sum is σ = 47762657280. Its totient is φ = 2370332160.

The previous prime is 11407278941. The next prime is 11407278977. The reversal of 11407278960 is 6987270411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47440 + ... + 158319.

It is an arithmetic number, because the mean of its divisors is an integer number (199011072).

Almost surely, 2^11407278960 is an apocalyptic number.

11407278960 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 11407278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881328640).

11407278960 is an abundant number, since it is smaller than the sum of its proper divisors (36355378320).

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

11407278960 is a wasteful number, since it uses less digits than its factorization.

11407278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205796 (or 205787 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11407278960 in words is "eleven billion, four hundred seven million, two hundred seventy-eight thousand, nine hundred sixty".