11354835240 has 192 divisors, whose sum is σ = 42867077760. Its totient is φ = 2552808960.

The previous prime is 11354835227. The next prime is 11354835263. The reversal of 11354835240 is 4253845311.

11354835240 is a `hidden beast` number, since 1 + 1 + 3 + 54 + 83 + 524 + 0 = 666.

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 = 11354835195 and 11354835204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116787 + ... + 190653.

It is an arithmetic number, because the mean of its divisors is an integer number (223266030).

Almost surely, 2^11354835240 is an apocalyptic number.

11354835240 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 11354835240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433538880).

11354835240 is an abundant number, since it is smaller than the sum of its proper divisors (31512242520).

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

11354835240 is a wasteful number, since it uses less digits than its factorization.

11354835240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73952 (or 73945 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11354835240 in words is "eleven billion, three hundred fifty-four million, eight hundred thirty-five thousand, two hundred forty".