11730358589040 has 3200 divisors, whose sum is σ = 55414453248000. Its totient is φ = 2230315057152.

The previous prime is 11730358588999. The next prime is 11730358589179. The reversal of 11730358589040 is 4098585303711.

11730358589040 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 0 + 3 + 58 + 589 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 25668180492 + ... + 25668180948.

It is an arithmetic number, because the mean of its divisors is an integer number (17317016640).

Almost surely, 2^{11730358589040} is an apocalyptic number.

11730358589040 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 11730358589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27707226624000).

11730358589040 is an abundant number, since it is smaller than the sum of its proper divisors (43684094658960).

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

11730358589040 is a wasteful number, since it uses less digits than its factorization.

11730358589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 11730358589040 in words is "eleven trillion, seven hundred thirty billion, three hundred fifty-eight million, five hundred eighty-nine thousand, forty".