11368506240 has 1152 divisors, whose sum is σ = 51740095680. Its totient is φ = 2238382080.

The previous prime is 11368506239. The next prime is 11368506251. The reversal of 11368506240 is 4260586311.

It is a happy number.

11368506240 is a `hidden beast` number, since 1 + 1 + 368 + 50 + 6 + 240 = 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 junction number, because it is equal to n+sod(n) for n = 11368506195 and 11368506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277280620 + ... + 277280660.

Almost surely, 2^11368506240 is an apocalyptic number.

11368506240 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 11368506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25870047840).

11368506240 is an abundant number, since it is smaller than the sum of its proper divisors (40371589440).

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

11368506240 is a wasteful number, since it uses less digits than its factorization.

11368506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11368506240 in words is "eleven billion, three hundred sixty-eight million, five hundred six thousand, two hundred forty".