11360276640 has 288 divisors, whose sum is σ = 39873689856. Its totient is φ = 2943682560.

The previous prime is 11360276621. The next prime is 11360276657. The reversal of 11360276640 is 4667206311.

It is a happy number.

11360276640 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 2 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 11360276595 and 11360276604.

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, 16779982 + ... + 16780658.

It is an arithmetic number, because the mean of its divisors is an integer number (138450312).

Almost surely, 2^11360276640 is an apocalyptic number.

11360276640 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 11360276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936844928).

11360276640 is an abundant number, since it is smaller than the sum of its proper divisors (28513413216).

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

11360276640 is a wasteful number, since it uses less digits than its factorization.

11360276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11360276640 in words is "eleven billion, three hundred sixty million, two hundred seventy-six thousand, six hundred forty".