11273502240 has 1440 divisors, whose sum is σ = 54505059840. Its totient is φ = 2134978560.

The previous prime is 11273502211. The next prime is 11273502257. The reversal of 11273502240 is 4220537211.

11273502240 is a `hidden beast` number, since 112 + 7 + 3 + 502 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142702521 + ... + 142702599.

It is an arithmetic number, because the mean of its divisors is an integer number (37850736).

Almost surely, 2^11273502240 is an apocalyptic number.

11273502240 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 11273502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252529920).

11273502240 is an abundant number, since it is smaller than the sum of its proper divisors (43231557600).

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

11273502240 is a wasteful number, since it uses less digits than its factorization.

11273502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 11273502240 in words is "eleven billion, two hundred seventy-three million, five hundred two thousand, two hundred forty".