11787232620240 has 2560 divisors, whose sum is σ = 55153612800000. Its totient is φ = 2285737574400.

The previous prime is 11787232620217. The next prime is 11787232620269. The reversal of 11787232620240 is 4202623278711.

11787232620240 is a `hidden beast` number, since 1 + 1 + 7 + 87 + 2 + 326 + 2 + 0 + 240 = 666.

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 511 ways as a sum of consecutive naturals, for example, 20643139155 + ... + 20643139725.

It is an arithmetic number, because the mean of its divisors is an integer number (21544380000).

Almost surely, 2^{11787232620240} is an apocalyptic number.

11787232620240 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 11787232620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27576806400000).

11787232620240 is an abundant number, since it is smaller than the sum of its proper divisors (43366380179760).

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

11787232620240 is a wasteful number, since it uses less digits than its factorization.

11787232620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 11787232620240 its reverse (4202623278711), we get a palindrome (15989855898951).

The spelling of 11787232620240 in words is "eleven trillion, seven hundred eighty-seven billion, two hundred thirty-two million, six hundred twenty thousand, two hundred forty".